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Finding the Fourth Proportional to 83,193.52, 114,806.76 and 45,467.76

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Solution

The fourth proportional to 83,193.52, 114,806.76 and 45,467.76 is: 62,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193.52 : 114,806.76 = 45,467.76 : x
  2. Step 2: Convert to fraction form
    83,193.52/114,806.76 = 45,467.76/x
  3. Step 3: Cross multiply
    83,193.52x = 114,806.76 × 45,467.76
  4. Step 4: Simplify right side
    83,193.52x = 5,220,006,210.06
  5. Step 5: Solve for x
    x = 5,220,006,210.06/83,193.52
  6. Step 6: Final answer
    x = 62,745.35

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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.