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Finding the Fourth Proportional to 52,698.17, 72,724.05 and 28,824.32

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Solution

The fourth proportional to 52,698.17, 72,724.05 and 28,824.32 is: 39,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,698.17 : 72,724.05 = 28,824.32 : x
  2. Step 2: Convert to fraction form
    52,698.17/72,724.05 = 28,824.32/x
  3. Step 3: Cross multiply
    52,698.17x = 72,724.05 × 28,824.32
  4. Step 4: Simplify right side
    52,698.17x = 2,096,221,470.71
  5. Step 5: Solve for x
    x = 2,096,221,470.71/52,698.17
  6. Step 6: Final answer
    x = 39,777.88

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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.