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Finding the Fourth Proportional to 83,122.61, 114,709.93 and 47,314.92

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Solution

The fourth proportional to 83,122.61, 114,709.93 and 47,314.92 is: 65,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122.61 : 114,709.93 = 47,314.92 : x
  2. Step 2: Convert to fraction form
    83,122.61/114,709.93 = 47,314.92/x
  3. Step 3: Cross multiply
    83,122.61x = 114,709.93 × 47,314.92
  4. Step 4: Simplify right side
    83,122.61x = 5,427,491,161.16
  5. Step 5: Solve for x
    x = 5,427,491,161.16/83,122.61
  6. Step 6: Final answer
    x = 65,295.00

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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.