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Finding the Fourth Proportional to 42,813.36, 64,220.04 and 11,648.61

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Solution

The fourth proportional to 42,813.36, 64,220.04 and 11,648.61 is: 17,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,813.36 : 64,220.04 = 11,648.61 : x
  2. Step 2: Convert to fraction form
    42,813.36/64,220.04 = 11,648.61/x
  3. Step 3: Cross multiply
    42,813.36x = 64,220.04 × 11,648.61
  4. Step 4: Simplify right side
    42,813.36x = 748,074,200.14
  5. Step 5: Solve for x
    x = 748,074,200.14/42,813.36
  6. Step 6: Final answer
    x = 17,472.92

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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.