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Finding the Fourth Proportional to 48,726.96, 67,231.80 and 28,582.80

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Solution

The fourth proportional to 48,726.96, 67,231.80 and 28,582.80 is: 39,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726.96 : 67,231.80 = 28,582.80 : x
  2. Step 2: Convert to fraction form
    48,726.96/67,231.80 = 28,582.80/x
  3. Step 3: Cross multiply
    48,726.96x = 67,231.80 × 28,582.80
  4. Step 4: Simplify right side
    48,726.96x = 1,921,673,093.04
  5. Step 5: Solve for x
    x = 1,921,673,093.04/48,726.96
  6. Step 6: Final answer
    x = 39,437.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.