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Finding the Fourth Proportional to 83,598.42, 115,354.98 and 47,790.78

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Solution

The fourth proportional to 83,598.42, 115,354.98 and 47,790.78 is: 65,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,598.42 : 115,354.98 = 47,790.78 : x
  2. Step 2: Convert to fraction form
    83,598.42/115,354.98 = 47,790.78/x
  3. Step 3: Cross multiply
    83,598.42x = 115,354.98 × 47,790.78
  4. Step 4: Simplify right side
    83,598.42x = 5,512,904,471.08
  5. Step 5: Solve for x
    x = 5,512,904,471.08/83,598.42
  6. Step 6: Final answer
    x = 65,945.08

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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.