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Finding the Fourth Proportional to 83,117.52, 114,667.38 and 50,827.68

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Solution

The fourth proportional to 83,117.52, 114,667.38 and 50,827.68 is: 70,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.52 : 114,667.38 = 50,827.68 : x
  2. Step 2: Convert to fraction form
    83,117.52/114,667.38 = 50,827.68/x
  3. Step 3: Cross multiply
    83,117.52x = 114,667.38 × 50,827.68
  4. Step 4: Simplify right side
    83,117.52x = 5,828,276,897.08
  5. Step 5: Solve for x
    x = 5,828,276,897.08/83,117.52
  6. Step 6: Final answer
    x = 70,120.92

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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.