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Finding the Fourth Proportional to 31,434.86, 43,379.88 and 17,287.40

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Solution

The fourth proportional to 31,434.86, 43,379.88 and 17,287.40 is: 23,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.86 : 43,379.88 = 17,287.40 : x
  2. Step 2: Convert to fraction form
    31,434.86/43,379.88 = 17,287.40/x
  3. Step 3: Cross multiply
    31,434.86x = 43,379.88 × 17,287.40
  4. Step 4: Simplify right side
    31,434.86x = 749,925,337.51
  5. Step 5: Solve for x
    x = 749,925,337.51/31,434.86
  6. Step 6: Final answer
    x = 23,856.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.