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Finding the Fourth Proportional to 82,298.64, 113,572.11 and 44,572.89

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Solution

The fourth proportional to 82,298.64, 113,572.11 and 44,572.89 is: 61,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,298.64 : 113,572.11 = 44,572.89 : x
  2. Step 2: Convert to fraction form
    82,298.64/113,572.11 = 44,572.89/x
  3. Step 3: Cross multiply
    82,298.64x = 113,572.11 × 44,572.89
  4. Step 4: Simplify right side
    82,298.64x = 5,062,237,166.10
  5. Step 5: Solve for x
    x = 5,062,237,166.10/82,298.64
  6. Step 6: Final answer
    x = 61,510.58

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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.