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Finding the Fourth Proportional to 35,877.30, 53,808.06 and 13,682.90

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Solution

The fourth proportional to 35,877.30, 53,808.06 and 13,682.90 is: 20,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,877.30 : 53,808.06 = 13,682.90 : x
  2. Step 2: Convert to fraction form
    35,877.30/53,808.06 = 13,682.90/x
  3. Step 3: Cross multiply
    35,877.30x = 53,808.06 × 13,682.90
  4. Step 4: Simplify right side
    35,877.30x = 736,250,304.17
  5. Step 5: Solve for x
    x = 736,250,304.17/35,877.30
  6. Step 6: Final answer
    x = 20,521.34

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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.