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Finding the Fourth Proportional to 56,098.69, 77,416.19 and 30,948.19

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Solution

The fourth proportional to 56,098.69, 77,416.19 and 30,948.19 is: 42,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,098.69 : 77,416.19 = 30,948.19 : x
  2. Step 2: Convert to fraction form
    56,098.69/77,416.19 = 30,948.19/x
  3. Step 3: Cross multiply
    56,098.69x = 77,416.19 × 30,948.19
  4. Step 4: Simplify right side
    56,098.69x = 2,395,890,802.46
  5. Step 5: Solve for x
    x = 2,395,890,802.46/56,098.69
  6. Step 6: Final answer
    x = 42,708.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.