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Finding the Fourth Proportional to 77,145.86, 115,717.58 and 24,554.58

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Solution

The fourth proportional to 77,145.86, 115,717.58 and 24,554.58 is: 36,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,145.86 : 115,717.58 = 24,554.58 : x
  2. Step 2: Convert to fraction form
    77,145.86/115,717.58 = 24,554.58/x
  3. Step 3: Cross multiply
    77,145.86x = 115,717.58 × 24,554.58
  4. Step 4: Simplify right side
    77,145.86x = 2,841,396,575.52
  5. Step 5: Solve for x
    x = 2,841,396,575.52/77,145.86
  6. Step 6: Final answer
    x = 36,831.48

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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.