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Finding the Fourth Proportional to 37,998, 52,435.68 and 22,082.32

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Solution

The fourth proportional to 37,998, 52,435.68 and 22,082.32 is: 30,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,998 : 52,435.68 = 22,082.32 : x
  2. Step 2: Convert to fraction form
    37,998/52,435.68 = 22,082.32/x
  3. Step 3: Cross multiply
    37,998x = 52,435.68 × 22,082.32
  4. Step 4: Simplify right side
    37,998x = 1,157,901,465.18
  5. Step 5: Solve for x
    x = 1,157,901,465.18/37,998
  6. Step 6: Final answer
    x = 30,472.70

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Double scale
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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.