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Finding the Fourth Proportional to 56,502.50, 77,973.24 and 31,009.30

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Solution

The fourth proportional to 56,502.50, 77,973.24 and 31,009.30 is: 42,792.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502.50 : 77,973.24 = 31,009.30 : x
  2. Step 2: Convert to fraction form
    56,502.50/77,973.24 = 31,009.30/x
  3. Step 3: Cross multiply
    56,502.50x = 77,973.24 × 31,009.30
  4. Step 4: Simplify right side
    56,502.50x = 2,417,895,591.13
  5. Step 5: Solve for x
    x = 2,417,895,591.13/56,502.50
  6. Step 6: Final answer
    x = 42,792.72

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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.