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Finding the Fourth Proportional to 77,175, 115,762.22 and 24,588.72

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Solution

The fourth proportional to 77,175, 115,762.22 and 24,588.72 is: 36,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175 : 115,762.22 = 24,588.72 : x
  2. Step 2: Convert to fraction form
    77,175/115,762.22 = 24,588.72/x
  3. Step 3: Cross multiply
    77,175x = 115,762.22 × 24,588.72
  4. Step 4: Simplify right side
    77,175x = 2,846,444,814.16
  5. Step 5: Solve for x
    x = 2,846,444,814.16/77,175
  6. Step 6: Final answer
    x = 36,882.99

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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.