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Finding the Fourth Proportional to 105,275.77, 145,284.16 and 57,532.19

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Solution

The fourth proportional to 105,275.77, 145,284.16 and 57,532.19 is: 79,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,275.77 : 145,284.16 = 57,532.19 : x
  2. Step 2: Convert to fraction form
    105,275.77/145,284.16 = 57,532.19/x
  3. Step 3: Cross multiply
    105,275.77x = 145,284.16 × 57,532.19
  4. Step 4: Simplify right side
    105,275.77x = 8,358,516,116.49
  5. Step 5: Solve for x
    x = 8,358,516,116.49/105,275.77
  6. Step 6: Final answer
    x = 79,396.39

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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.