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Finding the Fourth Proportional to 35,424.80, 53,141.04 and 13,248.80

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Solution

The fourth proportional to 35,424.80, 53,141.04 and 13,248.80 is: 19,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424.80 : 53,141.04 = 13,248.80 : x
  2. Step 2: Convert to fraction form
    35,424.80/53,141.04 = 13,248.80/x
  3. Step 3: Cross multiply
    35,424.80x = 53,141.04 × 13,248.80
  4. Step 4: Simplify right side
    35,424.80x = 704,055,010.75
  5. Step 5: Solve for x
    x = 704,055,010.75/35,424.80
  6. Step 6: Final answer
    x = 19,874.64

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Why These Related Problems?

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