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Finding the Fourth Proportional to 31,335.04, 47,009.52 and 10,558

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Solution

The fourth proportional to 31,335.04, 47,009.52 and 10,558 is: 15,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.04 : 47,009.52 = 10,558 : x
  2. Step 2: Convert to fraction form
    31,335.04/47,009.52 = 10,558/x
  3. Step 3: Cross multiply
    31,335.04x = 47,009.52 × 10,558
  4. Step 4: Simplify right side
    31,335.04x = 496,326,512.16
  5. Step 5: Solve for x
    x = 496,326,512.16/31,335.04
  6. Step 6: Final answer
    x = 15,839.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.