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Finding the Fourth Proportional to 109,734, 151,432.95 and 59,433

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Solution

The fourth proportional to 109,734, 151,432.95 and 59,433 is: 82,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734 : 151,432.95 = 59,433 : x
  2. Step 2: Convert to fraction form
    109,734/151,432.95 = 59,433/x
  3. Step 3: Cross multiply
    109,734x = 151,432.95 × 59,433
  4. Step 4: Simplify right side
    109,734x = 9,000,114,517.35
  5. Step 5: Solve for x
    x = 9,000,114,517.35/109,734
  6. Step 6: Final answer
    x = 82,017.56

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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.