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Finding the Fourth Proportional to 31,595.64, 47,408.12 and 13,823.96

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Solution

The fourth proportional to 31,595.64, 47,408.12 and 13,823.96 is: 20,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.64 : 47,408.12 = 13,823.96 : x
  2. Step 2: Convert to fraction form
    31,595.64/47,408.12 = 13,823.96/x
  3. Step 3: Cross multiply
    31,595.64x = 47,408.12 × 13,823.96
  4. Step 4: Simplify right side
    31,595.64x = 655,367,966.91
  5. Step 5: Solve for x
    x = 655,367,966.91/31,595.64
  6. Step 6: Final answer
    x = 20,742.35

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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.