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Finding the Fourth Proportional to 47,461.12, 65,509.34 and 29,545.48

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Solution

The fourth proportional to 47,461.12, 65,509.34 and 29,545.48 is: 40,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,461.12 : 65,509.34 = 29,545.48 : x
  2. Step 2: Convert to fraction form
    47,461.12/65,509.34 = 29,545.48/x
  3. Step 3: Cross multiply
    47,461.12x = 65,509.34 × 29,545.48
  4. Step 4: Simplify right side
    47,461.12x = 1,935,504,894.78
  5. Step 5: Solve for x
    x = 1,935,504,894.78/47,461.12
  6. Step 6: Final answer
    x = 40,780.85

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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.