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Finding the Fourth Proportional to 30,765.08, 42,472.14 and 24,648.78

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Solution

The fourth proportional to 30,765.08, 42,472.14 and 24,648.78 is: 34,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.08 : 42,472.14 = 24,648.78 : x
  2. Step 2: Convert to fraction form
    30,765.08/42,472.14 = 24,648.78/x
  3. Step 3: Cross multiply
    30,765.08x = 42,472.14 × 24,648.78
  4. Step 4: Simplify right side
    30,765.08x = 1,046,886,434.99
  5. Step 5: Solve for x
    x = 1,046,886,434.99/30,765.08
  6. Step 6: Final answer
    x = 34,028.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.