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Finding the Fourth Proportional to 121,618, 182,437.24 and 34,066

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Solution

The fourth proportional to 121,618, 182,437.24 and 34,066 is: 51,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,618 : 182,437.24 = 34,066 : x
  2. Step 2: Convert to fraction form
    121,618/182,437.24 = 34,066/x
  3. Step 3: Cross multiply
    121,618x = 182,437.24 × 34,066
  4. Step 4: Simplify right side
    121,618x = 6,214,907,017.84
  5. Step 5: Solve for x
    x = 6,214,907,017.84/121,618
  6. Step 6: Final answer
    x = 51,101.87

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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.