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Finding the Fourth Proportional to 75,132, 112,736.88 and 38,196

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Solution

The fourth proportional to 75,132, 112,736.88 and 38,196 is: 57,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132 : 112,736.88 = 38,196 : x
  2. Step 2: Convert to fraction form
    75,132/112,736.88 = 38,196/x
  3. Step 3: Cross multiply
    75,132x = 112,736.88 × 38,196
  4. Step 4: Simplify right side
    75,132x = 4,306,097,868.48
  5. Step 5: Solve for x
    x = 4,306,097,868.48/75,132
  6. Step 6: Final answer
    x = 57,313.77

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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.