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Finding the Fourth Proportional to 30,452.84, 42,012.60 and 20,248.76

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Solution

The fourth proportional to 30,452.84, 42,012.60 and 20,248.76 is: 27,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.84 : 42,012.60 = 20,248.76 : x
  2. Step 2: Convert to fraction form
    30,452.84/42,012.60 = 20,248.76/x
  3. Step 3: Cross multiply
    30,452.84x = 42,012.60 × 20,248.76
  4. Step 4: Simplify right side
    30,452.84x = 850,703,054.38
  5. Step 5: Solve for x
    x = 850,703,054.38/30,452.84
  6. Step 6: Final answer
    x = 27,935.10

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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.