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Finding the Fourth Proportional to 42,842.45, 64,305.18 and 20,671.40

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Solution

The fourth proportional to 42,842.45, 64,305.18 and 20,671.40 is: 31,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.45 : 64,305.18 = 20,671.40 : x
  2. Step 2: Convert to fraction form
    42,842.45/64,305.18 = 20,671.40/x
  3. Step 3: Cross multiply
    42,842.45x = 64,305.18 × 20,671.40
  4. Step 4: Simplify right side
    42,842.45x = 1,329,278,258.61
  5. Step 5: Solve for x
    x = 1,329,278,258.61/42,842.45
  6. Step 6: Final answer
    x = 31,027.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.