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Finding the Fourth Proportional to 83,888.57, 115,768.21 and 47,592.47

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Solution

The fourth proportional to 83,888.57, 115,768.21 and 47,592.47 is: 65,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888.57 : 115,768.21 = 47,592.47 : x
  2. Step 2: Convert to fraction form
    83,888.57/115,768.21 = 47,592.47/x
  3. Step 3: Cross multiply
    83,888.57x = 115,768.21 × 47,592.47
  4. Step 4: Simplify right side
    83,888.57x = 5,509,695,231.82
  5. Step 5: Solve for x
    x = 5,509,695,231.82/83,888.57
  6. Step 6: Final answer
    x = 65,678.73

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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.