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Finding the Fourth Proportional to 32,363.98, 48,548.07 and 10,178.21

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Solution

The fourth proportional to 32,363.98, 48,548.07 and 10,178.21 is: 15,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,363.98 : 48,548.07 = 10,178.21 : x
  2. Step 2: Convert to fraction form
    32,363.98/48,548.07 = 10,178.21/x
  3. Step 3: Cross multiply
    32,363.98x = 48,548.07 × 10,178.21
  4. Step 4: Simplify right side
    32,363.98x = 494,132,572.92
  5. Step 5: Solve for x
    x = 494,132,572.92/32,363.98
  6. Step 6: Final answer
    x = 15,267.98

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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.