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Finding the Fourth Proportional to 31,419.30, 47,128.95 and 13,880.10

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Solution

The fourth proportional to 31,419.30, 47,128.95 and 13,880.10 is: 20,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.30 : 47,128.95 = 13,880.10 : x
  2. Step 2: Convert to fraction form
    31,419.30/47,128.95 = 13,880.10/x
  3. Step 3: Cross multiply
    31,419.30x = 47,128.95 × 13,880.10
  4. Step 4: Simplify right side
    31,419.30x = 654,154,538.90
  5. Step 5: Solve for x
    x = 654,154,538.90/31,419.30
  6. Step 6: Final answer
    x = 20,820.15

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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.