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Finding the Fourth Proportional to 31,810.24, 47,714.52 and 8,436.88

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Solution

The fourth proportional to 31,810.24, 47,714.52 and 8,436.88 is: 12,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.24 : 47,714.52 = 8,436.88 : x
  2. Step 2: Convert to fraction form
    31,810.24/47,714.52 = 8,436.88/x
  3. Step 3: Cross multiply
    31,810.24x = 47,714.52 × 8,436.88
  4. Step 4: Simplify right side
    31,810.24x = 402,561,679.50
  5. Step 5: Solve for x
    x = 402,561,679.50/31,810.24
  6. Step 6: Final answer
    x = 12,655.10

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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.