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Finding the Fourth Proportional to 32,538.81, 48,826.59 and 15,008.64

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Solution

The fourth proportional to 32,538.81, 48,826.59 and 15,008.64 is: 22,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538.81 : 48,826.59 = 15,008.64 : x
  2. Step 2: Convert to fraction form
    32,538.81/48,826.59 = 15,008.64/x
  3. Step 3: Cross multiply
    32,538.81x = 48,826.59 × 15,008.64
  4. Step 4: Simplify right side
    32,538.81x = 732,820,467.60
  5. Step 5: Solve for x
    x = 732,820,467.60/32,538.81
  6. Step 6: Final answer
    x = 22,521.43

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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.