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Finding the Fourth Proportional to 47,671.16, 71,484 and 17,664.81

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Solution

The fourth proportional to 47,671.16, 71,484 and 17,664.81 is: 26,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.16 : 71,484 = 17,664.81 : x
  2. Step 2: Convert to fraction form
    47,671.16/71,484 = 17,664.81/x
  3. Step 3: Cross multiply
    47,671.16x = 71,484 × 17,664.81
  4. Step 4: Simplify right side
    47,671.16x = 1,262,751,278.04
  5. Step 5: Solve for x
    x = 1,262,751,278.04/47,671.16
  6. Step 6: Final answer
    x = 26,488.79

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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.