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Finding the Fourth Proportional to 83,200.32, 114,800.46 and 47,389.53

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Solution

The fourth proportional to 83,200.32, 114,800.46 and 47,389.53 is: 65,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.32 : 114,800.46 = 47,389.53 : x
  2. Step 2: Convert to fraction form
    83,200.32/114,800.46 = 47,389.53/x
  3. Step 3: Cross multiply
    83,200.32x = 114,800.46 × 47,389.53
  4. Step 4: Simplify right side
    83,200.32x = 5,440,339,843.18
  5. Step 5: Solve for x
    x = 5,440,339,843.18/83,200.32
  6. Step 6: Final answer
    x = 65,388.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.