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Finding the Fourth Proportional to 32,348, 44,640.24 and 22,417.76

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Solution

The fourth proportional to 32,348, 44,640.24 and 22,417.76 is: 30,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348 : 44,640.24 = 22,417.76 : x
  2. Step 2: Convert to fraction form
    32,348/44,640.24 = 22,417.76/x
  3. Step 3: Cross multiply
    32,348x = 44,640.24 × 22,417.76
  4. Step 4: Simplify right side
    32,348x = 1,000,734,186.66
  5. Step 5: Solve for x
    x = 1,000,734,186.66/32,348
  6. Step 6: Final answer
    x = 30,936.51

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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.