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Finding the Fourth Proportional to 77,502.25, 116,254.46 and 22,098.25

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Solution

The fourth proportional to 77,502.25, 116,254.46 and 22,098.25 is: 33,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,502.25 : 116,254.46 = 22,098.25 : x
  2. Step 2: Convert to fraction form
    77,502.25/116,254.46 = 22,098.25/x
  3. Step 3: Cross multiply
    77,502.25x = 116,254.46 × 22,098.25
  4. Step 4: Simplify right side
    77,502.25x = 2,569,020,120.70
  5. Step 5: Solve for x
    x = 2,569,020,120.70/77,502.25
  6. Step 6: Final answer
    x = 33,147.68

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1.5x scale

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.