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Finding the Fourth Proportional to 52,154.51, 71,977.37 and 29,498.27

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Solution

The fourth proportional to 52,154.51, 71,977.37 and 29,498.27 is: 40,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154.51 : 71,977.37 = 29,498.27 : x
  2. Step 2: Convert to fraction form
    52,154.51/71,977.37 = 29,498.27/x
  3. Step 3: Cross multiply
    52,154.51x = 71,977.37 × 29,498.27
  4. Step 4: Simplify right side
    52,154.51x = 2,123,207,386.77
  5. Step 5: Solve for x
    x = 2,123,207,386.77/52,154.51
  6. Step 6: Final answer
    x = 40,709.95

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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.