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Finding the Fourth Proportional to 52,689.86, 72,711.51 and 28,816.28

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Solution

The fourth proportional to 52,689.86, 72,711.51 and 28,816.28 is: 39,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.86 : 72,711.51 = 28,816.28 : x
  2. Step 2: Convert to fraction form
    52,689.86/72,711.51 = 28,816.28/x
  3. Step 3: Cross multiply
    52,689.86x = 72,711.51 × 28,816.28
  4. Step 4: Simplify right side
    52,689.86x = 2,095,275,231.38
  5. Step 5: Solve for x
    x = 2,095,275,231.38/52,689.86
  6. Step 6: Final answer
    x = 39,766.19

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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.