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Finding the Fourth Proportional to 32,029.62, 48,053.23 and 15,403.56

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Solution

The fourth proportional to 32,029.62, 48,053.23 and 15,403.56 is: 23,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.62 : 48,053.23 = 15,403.56 : x
  2. Step 2: Convert to fraction form
    32,029.62/48,053.23 = 15,403.56/x
  3. Step 3: Cross multiply
    32,029.62x = 48,053.23 × 15,403.56
  4. Step 4: Simplify right side
    32,029.62x = 740,190,811.50
  5. Step 5: Solve for x
    x = 740,190,811.50/32,029.62
  6. Step 6: Final answer
    x = 23,109.57

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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.