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Finding the Fourth Proportional to 31,138.78, 42,970.08 and 16,991.32

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Solution

The fourth proportional to 31,138.78, 42,970.08 and 16,991.32 is: 23,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.78 : 42,970.08 = 16,991.32 : x
  2. Step 2: Convert to fraction form
    31,138.78/42,970.08 = 16,991.32/x
  3. Step 3: Cross multiply
    31,138.78x = 42,970.08 × 16,991.32
  4. Step 4: Simplify right side
    31,138.78x = 730,118,379.71
  5. Step 5: Solve for x
    x = 730,118,379.71/31,138.78
  6. Step 6: Final answer
    x = 23,447.24

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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.