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Finding the Fourth Proportional to 31,046.38, 46,569.11 and 7,672.82

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Solution

The fourth proportional to 31,046.38, 46,569.11 and 7,672.82 is: 11,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.38 : 46,569.11 = 7,672.82 : x
  2. Step 2: Convert to fraction form
    31,046.38/46,569.11 = 7,672.82/x
  3. Step 3: Cross multiply
    31,046.38x = 46,569.11 × 7,672.82
  4. Step 4: Simplify right side
    31,046.38x = 357,316,165.74
  5. Step 5: Solve for x
    x = 357,316,165.74/31,046.38
  6. Step 6: Final answer
    x = 11,509.11

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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.