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Finding the Fourth Proportional to 71,374.84, 106,990.98 and 47,702.32

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Solution

The fourth proportional to 71,374.84, 106,990.98 and 47,702.32 is: 71,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,374.84 : 106,990.98 = 47,702.32 : x
  2. Step 2: Convert to fraction form
    71,374.84/106,990.98 = 47,702.32/x
  3. Step 3: Cross multiply
    71,374.84x = 106,990.98 × 47,702.32
  4. Step 4: Simplify right side
    71,374.84x = 5,103,717,965.07
  5. Step 5: Solve for x
    x = 5,103,717,965.07/71,374.84
  6. Step 6: Final answer
    x = 71,505.84

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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.