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Finding the Fourth Proportional to 32,186.78, 48,290.63 and 15,548.72

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Solution

The fourth proportional to 32,186.78, 48,290.63 and 15,548.72 is: 23,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.78 : 48,290.63 = 15,548.72 : x
  2. Step 2: Convert to fraction form
    32,186.78/48,290.63 = 15,548.72/x
  3. Step 3: Cross multiply
    32,186.78x = 48,290.63 × 15,548.72
  4. Step 4: Simplify right side
    32,186.78x = 750,857,165.30
  5. Step 5: Solve for x
    x = 750,857,165.30/32,186.78
  6. Step 6: Final answer
    x = 23,328.13

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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.