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Finding the Fourth Proportional to 75,036, 112,560.48 and 19,632

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Solution

The fourth proportional to 75,036, 112,560.48 and 19,632 is: 29,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,036 : 112,560.48 = 19,632 : x
  2. Step 2: Convert to fraction form
    75,036/112,560.48 = 19,632/x
  3. Step 3: Cross multiply
    75,036x = 112,560.48 × 19,632
  4. Step 4: Simplify right side
    75,036x = 2,209,787,343.36
  5. Step 5: Solve for x
    x = 2,209,787,343.36/75,036
  6. Step 6: Final answer
    x = 29,449.70

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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.