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Finding the Fourth Proportional to 75,313.56, 112,901.22 and 26,031

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Solution

The fourth proportional to 75,313.56, 112,901.22 and 26,031 is: 39,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313.56 : 112,901.22 = 26,031 : x
  2. Step 2: Convert to fraction form
    75,313.56/112,901.22 = 26,031/x
  3. Step 3: Cross multiply
    75,313.56x = 112,901.22 × 26,031
  4. Step 4: Simplify right side
    75,313.56x = 2,938,931,657.82
  5. Step 5: Solve for x
    x = 2,938,931,657.82/75,313.56
  6. Step 6: Final answer
    x = 39,022.61

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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.