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Finding the Fourth Proportional to 31,587.50, 47,365.39 and 10,520.10

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Solution

The fourth proportional to 31,587.50, 47,365.39 and 10,520.10 is: 15,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587.50 : 47,365.39 = 10,520.10 : x
  2. Step 2: Convert to fraction form
    31,587.50/47,365.39 = 10,520.10/x
  3. Step 3: Cross multiply
    31,587.50x = 47,365.39 × 10,520.10
  4. Step 4: Simplify right side
    31,587.50x = 498,288,639.34
  5. Step 5: Solve for x
    x = 498,288,639.34/31,587.50
  6. Step 6: Final answer
    x = 15,774.87

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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.