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Finding the Fourth Proportional to 34,902, 48,165.84 and 19,998

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Solution

The fourth proportional to 34,902, 48,165.84 and 19,998 is: 27,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902 : 48,165.84 = 19,998 : x
  2. Step 2: Convert to fraction form
    34,902/48,165.84 = 19,998/x
  3. Step 3: Cross multiply
    34,902x = 48,165.84 × 19,998
  4. Step 4: Simplify right side
    34,902x = 963,220,468.32
  5. Step 5: Solve for x
    x = 963,220,468.32/34,902
  6. Step 6: Final answer
    x = 27,597.86

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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.