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Finding the Fourth Proportional to 55,376.70, 83,077.77 and 15,934.14

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Solution

The fourth proportional to 55,376.70, 83,077.77 and 15,934.14 is: 23,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,376.70 : 83,077.77 = 15,934.14 : x
  2. Step 2: Convert to fraction form
    55,376.70/83,077.77 = 15,934.14/x
  3. Step 3: Cross multiply
    55,376.70x = 83,077.77 × 15,934.14
  4. Step 4: Simplify right side
    55,376.70x = 1,323,772,818.07
  5. Step 5: Solve for x
    x = 1,323,772,818.07/55,376.70
  6. Step 6: Final answer
    x = 23,904.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.