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Finding the Fourth Proportional to 115,505.84, 173,155.08 and 41,582

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Solution

The fourth proportional to 115,505.84, 173,155.08 and 41,582 is: 62,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,505.84 : 173,155.08 = 41,582 : x
  2. Step 2: Convert to fraction form
    115,505.84/173,155.08 = 41,582/x
  3. Step 3: Cross multiply
    115,505.84x = 173,155.08 × 41,582
  4. Step 4: Simplify right side
    115,505.84x = 7,200,134,536.56
  5. Step 5: Solve for x
    x = 7,200,134,536.56/115,505.84
  6. Step 6: Final answer
    x = 62,335.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.