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Finding the Fourth Proportional to 75,314.56, 112,902.72 and 26,032

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Solution

The fourth proportional to 75,314.56, 112,902.72 and 26,032 is: 39,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.56 : 112,902.72 = 26,032 : x
  2. Step 2: Convert to fraction form
    75,314.56/112,902.72 = 26,032/x
  3. Step 3: Cross multiply
    75,314.56x = 112,902.72 × 26,032
  4. Step 4: Simplify right side
    75,314.56x = 2,939,083,607.04
  5. Step 5: Solve for x
    x = 2,939,083,607.04/75,314.56
  6. Step 6: Final answer
    x = 39,024.11

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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.