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Finding the Fourth Proportional to 82,130.32, 113,340.11 and 44,404.84

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Solution

The fourth proportional to 82,130.32, 113,340.11 and 44,404.84 is: 61,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130.32 : 113,340.11 = 44,404.84 : x
  2. Step 2: Convert to fraction form
    82,130.32/113,340.11 = 44,404.84/x
  3. Step 3: Cross multiply
    82,130.32x = 113,340.11 × 44,404.84
  4. Step 4: Simplify right side
    82,130.32x = 5,032,849,450.13
  5. Step 5: Solve for x
    x = 5,032,849,450.13/82,130.32
  6. Step 6: Final answer
    x = 61,278.82

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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.