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Finding the Fourth Proportional to 34,088.80, 51,112.32 and 13,288

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Solution

The fourth proportional to 34,088.80, 51,112.32 and 13,288 is: 19,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,088.80 : 51,112.32 = 13,288 : x
  2. Step 2: Convert to fraction form
    34,088.80/51,112.32 = 13,288/x
  3. Step 3: Cross multiply
    34,088.80x = 51,112.32 × 13,288
  4. Step 4: Simplify right side
    34,088.80x = 679,180,508.16
  5. Step 5: Solve for x
    x = 679,180,508.16/34,088.80
  6. Step 6: Final answer
    x = 19,923.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.