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Finding the Fourth Proportional to 31,458.80, 47,196.36 and 11,737.50

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Solution

The fourth proportional to 31,458.80, 47,196.36 and 11,737.50 is: 17,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.80 : 47,196.36 = 11,737.50 : x
  2. Step 2: Convert to fraction form
    31,458.80/47,196.36 = 11,737.50/x
  3. Step 3: Cross multiply
    31,458.80x = 47,196.36 × 11,737.50
  4. Step 4: Simplify right side
    31,458.80x = 553,967,275.50
  5. Step 5: Solve for x
    x = 553,967,275.50/31,458.80
  6. Step 6: Final answer
    x = 17,609.30

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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.