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Finding the Fourth Proportional to 31,043.88, 46,565.82 and 7,670.76

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Solution

The fourth proportional to 31,043.88, 46,565.82 and 7,670.76 is: 11,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.88 : 46,565.82 = 7,670.76 : x
  2. Step 2: Convert to fraction form
    31,043.88/46,565.82 = 7,670.76/x
  3. Step 3: Cross multiply
    31,043.88x = 46,565.82 × 7,670.76
  4. Step 4: Simplify right side
    31,043.88x = 357,195,229.42
  5. Step 5: Solve for x
    x = 357,195,229.42/31,043.88
  6. Step 6: Final answer
    x = 11,506.14

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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.