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Finding the Fourth Proportional to 81,200.16, 112,047.84 and 45,389.16

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Solution

The fourth proportional to 81,200.16, 112,047.84 and 45,389.16 is: 62,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,200.16 : 112,047.84 = 45,389.16 : x
  2. Step 2: Convert to fraction form
    81,200.16/112,047.84 = 45,389.16/x
  3. Step 3: Cross multiply
    81,200.16x = 112,047.84 × 45,389.16
  4. Step 4: Simplify right side
    81,200.16x = 5,085,757,337.41
  5. Step 5: Solve for x
    x = 5,085,757,337.41/81,200.16
  6. Step 6: Final answer
    x = 62,632.36

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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.