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Finding the Fourth Proportional to 53,686.40, 74,089.12 and 29,813.52

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Solution

The fourth proportional to 53,686.40, 74,089.12 and 29,813.52 is: 41,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686.40 : 74,089.12 = 29,813.52 : x
  2. Step 2: Convert to fraction form
    53,686.40/74,089.12 = 29,813.52/x
  3. Step 3: Cross multiply
    53,686.40x = 74,089.12 × 29,813.52
  4. Step 4: Simplify right side
    53,686.40x = 2,208,857,460.90
  5. Step 5: Solve for x
    x = 2,208,857,460.90/53,686.40
  6. Step 6: Final answer
    x = 41,143.71

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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.