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Finding the Fourth Proportional to 52,074.19, 71,862.24 and 29,412.06

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Solution

The fourth proportional to 52,074.19, 71,862.24 and 29,412.06 is: 40,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.19 : 71,862.24 = 29,412.06 : x
  2. Step 2: Convert to fraction form
    52,074.19/71,862.24 = 29,412.06/x
  3. Step 3: Cross multiply
    52,074.19x = 71,862.24 × 29,412.06
  4. Step 4: Simplify right side
    52,074.19x = 2,113,616,594.21
  5. Step 5: Solve for x
    x = 2,113,616,594.21/52,074.19
  6. Step 6: Final answer
    x = 40,588.56

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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.