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Finding the Fourth Proportional to 82,700.16, 114,125.67 and 44,974.32

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Solution

The fourth proportional to 82,700.16, 114,125.67 and 44,974.32 is: 62,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,700.16 : 114,125.67 = 44,974.32 : x
  2. Step 2: Convert to fraction form
    82,700.16/114,125.67 = 44,974.32/x
  3. Step 3: Cross multiply
    82,700.16x = 114,125.67 × 44,974.32
  4. Step 4: Simplify right side
    82,700.16x = 5,132,724,402.79
  5. Step 5: Solve for x
    x = 5,132,724,402.79/82,700.16
  6. Step 6: Final answer
    x = 62,064.26

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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.