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Finding the Fourth Proportional to 83,313.69, 114,972.40 and 45,073.13

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Solution

The fourth proportional to 83,313.69, 114,972.40 and 45,073.13 is: 62,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,313.69 : 114,972.40 = 45,073.13 : x
  2. Step 2: Convert to fraction form
    83,313.69/114,972.40 = 45,073.13/x
  3. Step 3: Cross multiply
    83,313.69x = 114,972.40 × 45,073.13
  4. Step 4: Simplify right side
    83,313.69x = 5,182,165,413.09
  5. Step 5: Solve for x
    x = 5,182,165,413.09/83,313.69
  6. Step 6: Final answer
    x = 62,200.65

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1.5x scale

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.