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Finding the Fourth Proportional to 83,016.16, 114,564.12 and 45,290.38

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Solution

The fourth proportional to 83,016.16, 114,564.12 and 45,290.38 is: 62,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,016.16 : 114,564.12 = 45,290.38 : x
  2. Step 2: Convert to fraction form
    83,016.16/114,564.12 = 45,290.38/x
  3. Step 3: Cross multiply
    83,016.16x = 114,564.12 × 45,290.38
  4. Step 4: Simplify right side
    83,016.16x = 5,188,652,529.17
  5. Step 5: Solve for x
    x = 5,188,652,529.17/83,016.16
  6. Step 6: Final answer
    x = 62,501.72

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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.