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Finding the Fourth Proportional to 83,000.19, 114,536.86 and 49,019.61

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Solution

The fourth proportional to 83,000.19, 114,536.86 and 49,019.61 is: 67,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000.19 : 114,536.86 = 49,019.61 : x
  2. Step 2: Convert to fraction form
    83,000.19/114,536.86 = 49,019.61/x
  3. Step 3: Cross multiply
    83,000.19x = 114,536.86 × 49,019.61
  4. Step 4: Simplify right side
    83,000.19x = 5,614,552,207.82
  5. Step 5: Solve for x
    x = 5,614,552,207.82/83,000.19
  6. Step 6: Final answer
    x = 67,645.05

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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.