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Finding the Fourth Proportional to 115,330, 172,995.18 and 32,224

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Solution

The fourth proportional to 115,330, 172,995.18 and 32,224 is: 48,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,330 : 172,995.18 = 32,224 : x
  2. Step 2: Convert to fraction form
    115,330/172,995.18 = 32,224/x
  3. Step 3: Cross multiply
    115,330x = 172,995.18 × 32,224
  4. Step 4: Simplify right side
    115,330x = 5,574,596,680.32
  5. Step 5: Solve for x
    x = 5,574,596,680.32/115,330
  6. Step 6: Final answer
    x = 48,336.05

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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.