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Finding the Fourth Proportional to 77,502.50, 116,254.83 and 22,098.50

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Solution

The fourth proportional to 77,502.50, 116,254.83 and 22,098.50 is: 33,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,502.50 : 116,254.83 = 22,098.50 : x
  2. Step 2: Convert to fraction form
    77,502.50/116,254.83 = 22,098.50/x
  3. Step 3: Cross multiply
    77,502.50x = 116,254.83 × 22,098.50
  4. Step 4: Simplify right side
    77,502.50x = 2,569,057,360.76
  5. Step 5: Solve for x
    x = 2,569,057,360.76/77,502.50
  6. Step 6: Final answer
    x = 33,148.06

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