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Finding the Fourth Proportional to 56,013.10, 83,932.16 and 47,658.76

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Solution

The fourth proportional to 56,013.10, 83,932.16 and 47,658.76 is: 71,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,013.10 : 83,932.16 = 47,658.76 : x
  2. Step 2: Convert to fraction form
    56,013.10/83,932.16 = 47,658.76/x
  3. Step 3: Cross multiply
    56,013.10x = 83,932.16 × 47,658.76
  4. Step 4: Simplify right side
    56,013.10x = 4,000,102,669.72
  5. Step 5: Solve for x
    x = 4,000,102,669.72/56,013.10
  6. Step 6: Final answer
    x = 71,413.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.