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Finding the Fourth Proportional to 82,180.47, 113,409 and 44,454.72

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Solution

The fourth proportional to 82,180.47, 113,409 and 44,454.72 is: 61,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,180.47 : 113,409 = 44,454.72 : x
  2. Step 2: Convert to fraction form
    82,180.47/113,409 = 44,454.72/x
  3. Step 3: Cross multiply
    82,180.47x = 113,409 × 44,454.72
  4. Step 4: Simplify right side
    82,180.47x = 5,041,565,340.48
  5. Step 5: Solve for x
    x = 5,041,565,340.48/82,180.47
  6. Step 6: Final answer
    x = 61,347.49

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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.