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Finding the Fourth Proportional to 83,754, 125,688.60 and 34,506

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Solution

The fourth proportional to 83,754, 125,688.60 and 34,506 is: 51,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754 : 125,688.60 = 34,506 : x
  2. Step 2: Convert to fraction form
    83,754/125,688.60 = 34,506/x
  3. Step 3: Cross multiply
    83,754x = 125,688.60 × 34,506
  4. Step 4: Simplify right side
    83,754x = 4,337,010,831.60
  5. Step 5: Solve for x
    x = 4,337,010,831.60/83,754
  6. Step 6: Final answer
    x = 51,782.73

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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.