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Finding the Fourth Proportional to 35,742.90, 53,598.15 and 13,548.90

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Solution

The fourth proportional to 35,742.90, 53,598.15 and 13,548.90 is: 20,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742.90 : 53,598.15 = 13,548.90 : x
  2. Step 2: Convert to fraction form
    35,742.90/53,598.15 = 13,548.90/x
  3. Step 3: Cross multiply
    35,742.90x = 53,598.15 × 13,548.90
  4. Step 4: Simplify right side
    35,742.90x = 726,195,974.54
  5. Step 5: Solve for x
    x = 726,195,974.54/35,742.90
  6. Step 6: Final answer
    x = 20,317.21

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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.