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Finding the Fourth Proportional to 82,458, 113,792.10 and 44,732.40

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Solution

The fourth proportional to 82,458, 113,792.10 and 44,732.40 is: 61,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,458 : 113,792.10 = 44,732.40 : x
  2. Step 2: Convert to fraction form
    82,458/113,792.10 = 44,732.40/x
  3. Step 3: Cross multiply
    82,458x = 113,792.10 × 44,732.40
  4. Step 4: Simplify right side
    82,458x = 5,090,193,734.04
  5. Step 5: Solve for x
    x = 5,090,193,734.04/82,458
  6. Step 6: Final answer
    x = 61,730.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.