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Finding the Fourth Proportional to 34,730.40, 47,897.82 and 28,013.88

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Solution

The fourth proportional to 34,730.40, 47,897.82 and 28,013.88 is: 38,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730.40 : 47,897.82 = 28,013.88 : x
  2. Step 2: Convert to fraction form
    34,730.40/47,897.82 = 28,013.88/x
  3. Step 3: Cross multiply
    34,730.40x = 47,897.82 × 28,013.88
  4. Step 4: Simplify right side
    34,730.40x = 1,341,803,781.74
  5. Step 5: Solve for x
    x = 1,341,803,781.74/34,730.40
  6. Step 6: Final answer
    x = 38,634.85

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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.