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Finding the Fourth Proportional to 92,271.47, 138,357.96 and 47,787.89

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Solution

The fourth proportional to 92,271.47, 138,357.96 and 47,787.89 is: 71,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,271.47 : 138,357.96 = 47,787.89 : x
  2. Step 2: Convert to fraction form
    92,271.47/138,357.96 = 47,787.89/x
  3. Step 3: Cross multiply
    92,271.47x = 138,357.96 × 47,787.89
  4. Step 4: Simplify right side
    92,271.47x = 6,611,834,281.31
  5. Step 5: Solve for x
    x = 6,611,834,281.31/92,271.47
  6. Step 6: Final answer
    x = 71,656.33

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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.