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Finding the Fourth Proportional to 31,095, 42,911.28 and 16,948.80

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Solution

The fourth proportional to 31,095, 42,911.28 and 16,948.80 is: 23,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095 : 42,911.28 = 16,948.80 : x
  2. Step 2: Convert to fraction form
    31,095/42,911.28 = 16,948.80/x
  3. Step 3: Cross multiply
    31,095x = 42,911.28 × 16,948.80
  4. Step 4: Simplify right side
    31,095x = 727,294,702.46
  5. Step 5: Solve for x
    x = 727,294,702.46/31,095
  6. Step 6: Final answer
    x = 23,389.44

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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.