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Finding the Fourth Proportional to 115,381, 173,071.50 and 32,275

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Solution

The fourth proportional to 115,381, 173,071.50 and 32,275 is: 48,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,381 : 173,071.50 = 32,275 : x
  2. Step 2: Convert to fraction form
    115,381/173,071.50 = 32,275/x
  3. Step 3: Cross multiply
    115,381x = 173,071.50 × 32,275
  4. Step 4: Simplify right side
    115,381x = 5,585,882,662.50
  5. Step 5: Solve for x
    x = 5,585,882,662.50/115,381
  6. Step 6: Final answer
    x = 48,412.50

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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.