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Finding the Fourth Proportional to 35,872.40, 53,810.20 and 13,696.40

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Solution

The fourth proportional to 35,872.40, 53,810.20 and 13,696.40 is: 20,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872.40 : 53,810.20 = 13,696.40 : x
  2. Step 2: Convert to fraction form
    35,872.40/53,810.20 = 13,696.40/x
  3. Step 3: Cross multiply
    35,872.40x = 53,810.20 × 13,696.40
  4. Step 4: Simplify right side
    35,872.40x = 737,006,023.28
  5. Step 5: Solve for x
    x = 737,006,023.28/35,872.40
  6. Step 6: Final answer
    x = 20,545.21

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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.