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Finding the Fourth Proportional to 82,974.48, 114,503.76 and 45,248.64

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Solution

The fourth proportional to 82,974.48, 114,503.76 and 45,248.64 is: 62,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,974.48 : 114,503.76 = 45,248.64 : x
  2. Step 2: Convert to fraction form
    82,974.48/114,503.76 = 45,248.64/x
  3. Step 3: Cross multiply
    82,974.48x = 114,503.76 × 45,248.64
  4. Step 4: Simplify right side
    82,974.48x = 5,181,139,414.89
  5. Step 5: Solve for x
    x = 5,181,139,414.89/82,974.48
  6. Step 6: Final answer
    x = 62,442.57

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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.