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Finding the Fourth Proportional to 48,106, 66,363.12 and 30,192.16

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Solution

The fourth proportional to 48,106, 66,363.12 and 30,192.16 is: 41,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,106 : 66,363.12 = 30,192.16 : x
  2. Step 2: Convert to fraction form
    48,106/66,363.12 = 30,192.16/x
  3. Step 3: Cross multiply
    48,106x = 66,363.12 × 30,192.16
  4. Step 4: Simplify right side
    48,106x = 2,003,645,937.14
  5. Step 5: Solve for x
    x = 2,003,645,937.14/48,106
  6. Step 6: Final answer
    x = 41,650.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.