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Finding the Fourth Proportional to 83,216.22, 114,836.09 and 47,417.79

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Solution

The fourth proportional to 83,216.22, 114,836.09 and 47,417.79 is: 65,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.22 : 114,836.09 = 47,417.79 : x
  2. Step 2: Convert to fraction form
    83,216.22/114,836.09 = 47,417.79/x
  3. Step 3: Cross multiply
    83,216.22x = 114,836.09 × 47,417.79
  4. Step 4: Simplify right side
    83,216.22x = 5,445,273,600.04
  5. Step 5: Solve for x
    x = 5,445,273,600.04/83,216.22
  6. Step 6: Final answer
    x = 65,435.24

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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.