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Finding the Fourth Proportional to 83,500.94, 115,239.28 and 47,696.30

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Solution

The fourth proportional to 83,500.94, 115,239.28 and 47,696.30 is: 65,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,500.94 : 115,239.28 = 47,696.30 : x
  2. Step 2: Convert to fraction form
    83,500.94/115,239.28 = 47,696.30/x
  3. Step 3: Cross multiply
    83,500.94x = 115,239.28 × 47,696.30
  4. Step 4: Simplify right side
    83,500.94x = 5,496,487,270.66
  5. Step 5: Solve for x
    x = 5,496,487,270.66/83,500.94
  6. Step 6: Final answer
    x = 65,825.45

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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.