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Finding the Fourth Proportional to 83,952.98, 115,829.09 and 47,648.50

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Solution

The fourth proportional to 83,952.98, 115,829.09 and 47,648.50 is: 65,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952.98 : 115,829.09 = 47,648.50 : x
  2. Step 2: Convert to fraction form
    83,952.98/115,829.09 = 47,648.50/x
  3. Step 3: Cross multiply
    83,952.98x = 115,829.09 × 47,648.50
  4. Step 4: Simplify right side
    83,952.98x = 5,519,082,394.87
  5. Step 5: Solve for x
    x = 5,519,082,394.87/83,952.98
  6. Step 6: Final answer
    x = 65,740.16

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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.