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Finding the Fourth Proportional to 75,360, 113,060.16 and 26,112

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Solution

The fourth proportional to 75,360, 113,060.16 and 26,112 is: 39,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360 : 113,060.16 = 26,112 : x
  2. Step 2: Convert to fraction form
    75,360/113,060.16 = 26,112/x
  3. Step 3: Cross multiply
    75,360x = 113,060.16 × 26,112
  4. Step 4: Simplify right side
    75,360x = 2,952,226,897.92
  5. Step 5: Solve for x
    x = 2,952,226,897.92/75,360
  6. Step 6: Final answer
    x = 39,174.99

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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.