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Finding the Fourth Proportional to 32,182.92, 44,411.76 and 17,646.90

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Solution

The fourth proportional to 32,182.92, 44,411.76 and 17,646.90 is: 24,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.92 : 44,411.76 = 17,646.90 : x
  2. Step 2: Convert to fraction form
    32,182.92/44,411.76 = 17,646.90/x
  3. Step 3: Cross multiply
    32,182.92x = 44,411.76 × 17,646.90
  4. Step 4: Simplify right side
    32,182.92x = 783,729,887.54
  5. Step 5: Solve for x
    x = 783,729,887.54/32,182.92
  6. Step 6: Final answer
    x = 24,352.35

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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.