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Finding the Fourth Proportional to 34,602.28, 47,701.38 and 24,649

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Solution

The fourth proportional to 34,602.28, 47,701.38 and 24,649 is: 33,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,602.28 : 47,701.38 = 24,649 : x
  2. Step 2: Convert to fraction form
    34,602.28/47,701.38 = 24,649/x
  3. Step 3: Cross multiply
    34,602.28x = 47,701.38 × 24,649
  4. Step 4: Simplify right side
    34,602.28x = 1,175,791,315.62
  5. Step 5: Solve for x
    x = 1,175,791,315.62/34,602.28
  6. Step 6: Final answer
    x = 33,980.17

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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.