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Finding the Fourth Proportional to 32,462.16, 48,695.04 and 15,836.37

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Solution

The fourth proportional to 32,462.16, 48,695.04 and 15,836.37 is: 23,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.16 : 48,695.04 = 15,836.37 : x
  2. Step 2: Convert to fraction form
    32,462.16/48,695.04 = 15,836.37/x
  3. Step 3: Cross multiply
    32,462.16x = 48,695.04 × 15,836.37
  4. Step 4: Simplify right side
    32,462.16x = 771,152,670.60
  5. Step 5: Solve for x
    x = 771,152,670.60/32,462.16
  6. Step 6: Final answer
    x = 23,755.43

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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.