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Finding the Fourth Proportional to 83,215.69, 114,837.65 and 45,489.94

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Solution

The fourth proportional to 83,215.69, 114,837.65 and 45,489.94 is: 62,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215.69 : 114,837.65 = 45,489.94 : x
  2. Step 2: Convert to fraction form
    83,215.69/114,837.65 = 45,489.94/x
  3. Step 3: Cross multiply
    83,215.69x = 114,837.65 × 45,489.94
  4. Step 4: Simplify right side
    83,215.69x = 5,223,957,464.28
  5. Step 5: Solve for x
    x = 5,223,957,464.28/83,215.69
  6. Step 6: Final answer
    x = 62,776.11

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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.