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Finding the Fourth Proportional to 83,501.96, 115,242.36 and 47,697.14

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Solution

The fourth proportional to 83,501.96, 115,242.36 and 47,697.14 is: 65,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501.96 : 115,242.36 = 47,697.14 : x
  2. Step 2: Convert to fraction form
    83,501.96/115,242.36 = 47,697.14/x
  3. Step 3: Cross multiply
    83,501.96x = 115,242.36 × 47,697.14
  4. Step 4: Simplify right side
    83,501.96x = 5,496,730,978.85
  5. Step 5: Solve for x
    x = 5,496,730,978.85/83,501.96
  6. Step 6: Final answer
    x = 65,827.57

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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.