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Finding the Fourth Proportional to 31,841.30, 47,762.08 and 9,654.86

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Solution

The fourth proportional to 31,841.30, 47,762.08 and 9,654.86 is: 14,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.30 : 47,762.08 = 9,654.86 : x
  2. Step 2: Convert to fraction form
    31,841.30/47,762.08 = 9,654.86/x
  3. Step 3: Cross multiply
    31,841.30x = 47,762.08 × 9,654.86
  4. Step 4: Simplify right side
    31,841.30x = 461,136,290.98
  5. Step 5: Solve for x
    x = 461,136,290.98/31,841.30
  6. Step 6: Final answer
    x = 14,482.33

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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.