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Finding the Fourth Proportional to 34,603.28, 47,702.76 and 24,650

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Solution

The fourth proportional to 34,603.28, 47,702.76 and 24,650 is: 33,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.28 : 47,702.76 = 24,650 : x
  2. Step 2: Convert to fraction form
    34,603.28/47,702.76 = 24,650/x
  3. Step 3: Cross multiply
    34,603.28x = 47,702.76 × 24,650
  4. Step 4: Simplify right side
    34,603.28x = 1,175,873,034
  5. Step 5: Solve for x
    x = 1,175,873,034/34,603.28
  6. Step 6: Final answer
    x = 33,981.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.