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Finding the Fourth Proportional to 83,332.67, 114,998.28 and 45,091.38

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Solution

The fourth proportional to 83,332.67, 114,998.28 and 45,091.38 is: 62,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,332.67 : 114,998.28 = 45,091.38 : x
  2. Step 2: Convert to fraction form
    83,332.67/114,998.28 = 45,091.38/x
  3. Step 3: Cross multiply
    83,332.67x = 114,998.28 × 45,091.38
  4. Step 4: Simplify right side
    83,332.67x = 5,185,431,658.62
  5. Step 5: Solve for x
    x = 5,185,431,658.62/83,332.67
  6. Step 6: Final answer
    x = 62,225.67

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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.