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Finding the Fourth Proportional to 68,463.40, 102,695.10 and 19,215.40

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Solution

The fourth proportional to 68,463.40, 102,695.10 and 19,215.40 is: 28,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,463.40 : 102,695.10 = 19,215.40 : x
  2. Step 2: Convert to fraction form
    68,463.40/102,695.10 = 19,215.40/x
  3. Step 3: Cross multiply
    68,463.40x = 102,695.10 × 19,215.40
  4. Step 4: Simplify right side
    68,463.40x = 1,973,327,424.54
  5. Step 5: Solve for x
    x = 1,973,327,424.54/68,463.40
  6. Step 6: Final answer
    x = 28,823.10

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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.