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Finding the Fourth Proportional to 83,237.52, 114,859.84 and 47,426.64

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Solution

The fourth proportional to 83,237.52, 114,859.84 and 47,426.64 is: 65,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,237.52 : 114,859.84 = 47,426.64 : x
  2. Step 2: Convert to fraction form
    83,237.52/114,859.84 = 47,426.64/x
  3. Step 3: Cross multiply
    83,237.52x = 114,859.84 × 47,426.64
  4. Step 4: Simplify right side
    83,237.52x = 5,447,416,282.14
  5. Step 5: Solve for x
    x = 5,447,416,282.14/83,237.52
  6. Step 6: Final answer
    x = 65,444.24

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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.