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Finding the Fourth Proportional to 31,071.48, 42,879.12 and 16,924.32

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Solution

The fourth proportional to 31,071.48, 42,879.12 and 16,924.32 is: 23,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.48 : 42,879.12 = 16,924.32 : x
  2. Step 2: Convert to fraction form
    31,071.48/42,879.12 = 16,924.32/x
  3. Step 3: Cross multiply
    31,071.48x = 42,879.12 × 16,924.32
  4. Step 4: Simplify right side
    31,071.48x = 725,699,948.20
  5. Step 5: Solve for x
    x = 725,699,948.20/31,071.48
  6. Step 6: Final answer
    x = 23,355.82

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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.