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Finding the Fourth Proportional to 47,390.13, 65,410.89 and 29,474.94

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Solution

The fourth proportional to 47,390.13, 65,410.89 and 29,474.94 is: 40,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,390.13 : 65,410.89 = 29,474.94 : x
  2. Step 2: Convert to fraction form
    47,390.13/65,410.89 = 29,474.94/x
  3. Step 3: Cross multiply
    47,390.13x = 65,410.89 × 29,474.94
  4. Step 4: Simplify right side
    47,390.13x = 1,927,982,058.10
  5. Step 5: Solve for x
    x = 1,927,982,058.10/47,390.13
  6. Step 6: Final answer
    x = 40,683.20

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Why These Related Problems?

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