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Finding the Fourth Proportional to 52,006.40, 71,740.16 and 32,130.56

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Solution

The fourth proportional to 52,006.40, 71,740.16 and 32,130.56 is: 44,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.40 : 71,740.16 = 32,130.56 : x
  2. Step 2: Convert to fraction form
    52,006.40/71,740.16 = 32,130.56/x
  3. Step 3: Cross multiply
    52,006.40x = 71,740.16 × 32,130.56
  4. Step 4: Simplify right side
    52,006.40x = 2,305,051,515.29
  5. Step 5: Solve for x
    x = 2,305,051,515.29/52,006.40
  6. Step 6: Final answer
    x = 44,322.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.