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Finding the Fourth Proportional to 83,700.99, 115,513.83 and 47,902.23

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Solution

The fourth proportional to 83,700.99, 115,513.83 and 47,902.23 is: 66,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,700.99 : 115,513.83 = 47,902.23 : x
  2. Step 2: Convert to fraction form
    83,700.99/115,513.83 = 47,902.23/x
  3. Step 3: Cross multiply
    83,700.99x = 115,513.83 × 47,902.23
  4. Step 4: Simplify right side
    83,700.99x = 5,533,370,052.84
  5. Step 5: Solve for x
    x = 5,533,370,052.84/83,700.99
  6. Step 6: Final answer
    x = 66,108.78

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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.