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Finding the Fourth Proportional to 107,946, 161,944.92 and 34,074

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Solution

The fourth proportional to 107,946, 161,944.92 and 34,074 is: 51,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,946 : 161,944.92 = 34,074 : x
  2. Step 2: Convert to fraction form
    107,946/161,944.92 = 34,074/x
  3. Step 3: Cross multiply
    107,946x = 161,944.92 × 34,074
  4. Step 4: Simplify right side
    107,946x = 5,518,111,204.08
  5. Step 5: Solve for x
    x = 5,518,111,204.08/107,946
  6. Step 6: Final answer
    x = 51,119.18

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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.