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Finding the Fourth Proportional to 31,417.68, 47,119.14 and 9,225.12

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Solution

The fourth proportional to 31,417.68, 47,119.14 and 9,225.12 is: 13,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.68 : 47,119.14 = 9,225.12 : x
  2. Step 2: Convert to fraction form
    31,417.68/47,119.14 = 9,225.12/x
  3. Step 3: Cross multiply
    31,417.68x = 47,119.14 × 9,225.12
  4. Step 4: Simplify right side
    31,417.68x = 434,679,720.80
  5. Step 5: Solve for x
    x = 434,679,720.80/31,417.68
  6. Step 6: Final answer
    x = 13,835.51

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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.