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Finding the Fourth Proportional to 31,644.04, 47,468.58 and 9,455.80

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Solution

The fourth proportional to 31,644.04, 47,468.58 and 9,455.80 is: 14,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.04 : 47,468.58 = 9,455.80 : x
  2. Step 2: Convert to fraction form
    31,644.04/47,468.58 = 9,455.80/x
  3. Step 3: Cross multiply
    31,644.04x = 47,468.58 × 9,455.80
  4. Step 4: Simplify right side
    31,644.04x = 448,853,398.76
  5. Step 5: Solve for x
    x = 448,853,398.76/31,644.04
  6. Step 6: Final answer
    x = 14,184.45

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