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Finding the Fourth Proportional to 30,397.70, 41,953.70 and 17,822.46

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Solution

The fourth proportional to 30,397.70, 41,953.70 and 17,822.46 is: 24,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.70 : 41,953.70 = 17,822.46 : x
  2. Step 2: Convert to fraction form
    30,397.70/41,953.70 = 17,822.46/x
  3. Step 3: Cross multiply
    30,397.70x = 41,953.70 × 17,822.46
  4. Step 4: Simplify right side
    30,397.70x = 747,718,140.10
  5. Step 5: Solve for x
    x = 747,718,140.10/30,397.70
  6. Step 6: Final answer
    x = 24,597.85

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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.