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Finding the Fourth Proportional to 30,642.08, 45,963.36 and 13,102.88

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Solution

The fourth proportional to 30,642.08, 45,963.36 and 13,102.88 is: 19,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.08 : 45,963.36 = 13,102.88 : x
  2. Step 2: Convert to fraction form
    30,642.08/45,963.36 = 13,102.88/x
  3. Step 3: Cross multiply
    30,642.08x = 45,963.36 × 13,102.88
  4. Step 4: Simplify right side
    30,642.08x = 602,252,390.48
  5. Step 5: Solve for x
    x = 602,252,390.48/30,642.08
  6. Step 6: Final answer
    x = 19,654.42

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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.