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Finding the Fourth Proportional to 35,871.48, 53,789.29 and 13,374.54

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Solution

The fourth proportional to 35,871.48, 53,789.29 and 13,374.54 is: 20,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.48 : 53,789.29 = 13,374.54 : x
  2. Step 2: Convert to fraction form
    35,871.48/53,789.29 = 13,374.54/x
  3. Step 3: Cross multiply
    35,871.48x = 53,789.29 × 13,374.54
  4. Step 4: Simplify right side
    35,871.48x = 719,406,977.24
  5. Step 5: Solve for x
    x = 719,406,977.24/35,871.48
  6. Step 6: Final answer
    x = 20,055.12

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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.