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Finding the Fourth Proportional to 31,609.14, 47,437.04 and 14,969.14

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Solution

The fourth proportional to 31,609.14, 47,437.04 and 14,969.14 is: 22,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.14 : 47,437.04 = 14,969.14 : x
  2. Step 2: Convert to fraction form
    31,609.14/47,437.04 = 14,969.14/x
  3. Step 3: Cross multiply
    31,609.14x = 47,437.04 × 14,969.14
  4. Step 4: Simplify right side
    31,609.14x = 710,091,878.61
  5. Step 5: Solve for x
    x = 710,091,878.61/31,609.14
  6. Step 6: Final answer
    x = 22,464.76

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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.