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Finding the Fourth Proportional to 51,499.86, 77,379.18 and 32,788.24

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Solution

The fourth proportional to 51,499.86, 77,379.18 and 32,788.24 is: 49,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,499.86 : 77,379.18 = 32,788.24 : x
  2. Step 2: Convert to fraction form
    51,499.86/77,379.18 = 32,788.24/x
  3. Step 3: Cross multiply
    51,499.86x = 77,379.18 × 32,788.24
  4. Step 4: Simplify right side
    51,499.86x = 2,537,127,124.84
  5. Step 5: Solve for x
    x = 2,537,127,124.84/51,499.86
  6. Step 6: Final answer
    x = 49,264.74

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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.