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Finding the Fourth Proportional to 31,043.38, 46,565.07 and 7,670.26

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Solution

The fourth proportional to 31,043.38, 46,565.07 and 7,670.26 is: 11,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.38 : 46,565.07 = 7,670.26 : x
  2. Step 2: Convert to fraction form
    31,043.38/46,565.07 = 7,670.26/x
  3. Step 3: Cross multiply
    31,043.38x = 46,565.07 × 7,670.26
  4. Step 4: Simplify right side
    31,043.38x = 357,166,193.82
  5. Step 5: Solve for x
    x = 357,166,193.82/31,043.38
  6. Step 6: Final answer
    x = 11,505.39

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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.