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Finding the Fourth Proportional to 31,592.19, 47,398.53 and 9,405.75

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Solution

The fourth proportional to 31,592.19, 47,398.53 and 9,405.75 is: 14,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.19 : 47,398.53 = 9,405.75 : x
  2. Step 2: Convert to fraction form
    31,592.19/47,398.53 = 9,405.75/x
  3. Step 3: Cross multiply
    31,592.19x = 47,398.53 × 9,405.75
  4. Step 4: Simplify right side
    31,592.19x = 445,818,723.55
  5. Step 5: Solve for x
    x = 445,818,723.55/31,592.19
  6. Step 6: Final answer
    x = 14,111.68

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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.