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Finding the Fourth Proportional to 56,239.12, 77,606.94 and 31,087

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Solution

The fourth proportional to 56,239.12, 77,606.94 and 31,087 is: 42,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,239.12 : 77,606.94 = 31,087 : x
  2. Step 2: Convert to fraction form
    56,239.12/77,606.94 = 31,087/x
  3. Step 3: Cross multiply
    56,239.12x = 77,606.94 × 31,087
  4. Step 4: Simplify right side
    56,239.12x = 2,412,566,943.78
  5. Step 5: Solve for x
    x = 2,412,566,943.78/56,239.12
  6. Step 6: Final answer
    x = 42,898.38

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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.