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Finding the Fourth Proportional to 42,802.40, 64,524.38 and 39,947.96

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Solution

The fourth proportional to 42,802.40, 64,524.38 and 39,947.96 is: 60,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802.40 : 64,524.38 = 39,947.96 : x
  2. Step 2: Convert to fraction form
    42,802.40/64,524.38 = 39,947.96/x
  3. Step 3: Cross multiply
    42,802.40x = 64,524.38 × 39,947.96
  4. Step 4: Simplify right side
    42,802.40x = 2,577,617,351.26
  5. Step 5: Solve for x
    x = 2,577,617,351.26/42,802.40
  6. Step 6: Final answer
    x = 60,221.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.