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Finding the Fourth Proportional to 31,551.16, 47,335.84 and 10,203.40

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Solution

The fourth proportional to 31,551.16, 47,335.84 and 10,203.40 is: 15,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551.16 : 47,335.84 = 10,203.40 : x
  2. Step 2: Convert to fraction form
    31,551.16/47,335.84 = 10,203.40/x
  3. Step 3: Cross multiply
    31,551.16x = 47,335.84 × 10,203.40
  4. Step 4: Simplify right side
    31,551.16x = 482,986,509.86
  5. Step 5: Solve for x
    x = 482,986,509.86/31,551.16
  6. Step 6: Final answer
    x = 15,308.04

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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.