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Finding the Fourth Proportional to 82,746, 114,189.84 and 45,020.16

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Solution

The fourth proportional to 82,746, 114,189.84 and 45,020.16 is: 62,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,746 : 114,189.84 = 45,020.16 : x
  2. Step 2: Convert to fraction form
    82,746/114,189.84 = 45,020.16/x
  3. Step 3: Cross multiply
    82,746x = 114,189.84 × 45,020.16
  4. Step 4: Simplify right side
    82,746x = 5,140,844,867.17
  5. Step 5: Solve for x
    x = 5,140,844,867.17/82,746
  6. Step 6: Final answer
    x = 62,128.02

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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.