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Finding the Fourth Proportional to 31,006.54, 42,775.32 and 18,424

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Solution

The fourth proportional to 31,006.54, 42,775.32 and 18,424 is: 25,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.54 : 42,775.32 = 18,424 : x
  2. Step 2: Convert to fraction form
    31,006.54/42,775.32 = 18,424/x
  3. Step 3: Cross multiply
    31,006.54x = 42,775.32 × 18,424
  4. Step 4: Simplify right side
    31,006.54x = 788,092,495.68
  5. Step 5: Solve for x
    x = 788,092,495.68/31,006.54
  6. Step 6: Final answer
    x = 25,416.98

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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.