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Finding the Fourth Proportional to 83,024.66, 114,573.44 and 47,214.66

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Solution

The fourth proportional to 83,024.66, 114,573.44 and 47,214.66 is: 65,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,024.66 : 114,573.44 = 47,214.66 : x
  2. Step 2: Convert to fraction form
    83,024.66/114,573.44 = 47,214.66/x
  3. Step 3: Cross multiply
    83,024.66x = 114,573.44 × 47,214.66
  4. Step 4: Simplify right side
    83,024.66x = 5,409,545,778.56
  5. Step 5: Solve for x
    x = 5,409,545,778.56/83,024.66
  6. Step 6: Final answer
    x = 65,155.90

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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.