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Finding the Fourth Proportional to 32,354.51, 48,531.79 and 10,169.82

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Solution

The fourth proportional to 32,354.51, 48,531.79 and 10,169.82 is: 15,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354.51 : 48,531.79 = 10,169.82 : x
  2. Step 2: Convert to fraction form
    32,354.51/48,531.79 = 10,169.82/x
  3. Step 3: Cross multiply
    32,354.51x = 48,531.79 × 10,169.82
  4. Step 4: Simplify right side
    32,354.51x = 493,559,581.29
  5. Step 5: Solve for x
    x = 493,559,581.29/32,354.51
  6. Step 6: Final answer
    x = 15,254.74

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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.