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Finding the Fourth Proportional to 75,597, 113,400.30 and 23,010.36

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Solution

The fourth proportional to 75,597, 113,400.30 and 23,010.36 is: 34,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,597 : 113,400.30 = 23,010.36 : x
  2. Step 2: Convert to fraction form
    75,597/113,400.30 = 23,010.36/x
  3. Step 3: Cross multiply
    75,597x = 113,400.30 × 23,010.36
  4. Step 4: Simplify right side
    75,597x = 2,609,381,727.11
  5. Step 5: Solve for x
    x = 2,609,381,727.11/75,597
  6. Step 6: Final answer
    x = 34,517.00

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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.