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Finding the Fourth Proportional to 123,659.33, 185,496.71 and 34,919.64

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Solution

The fourth proportional to 123,659.33, 185,496.71 and 34,919.64 is: 52,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,659.33 : 185,496.71 = 34,919.64 : x
  2. Step 2: Convert to fraction form
    123,659.33/185,496.71 = 34,919.64/x
  3. Step 3: Cross multiply
    123,659.33x = 185,496.71 × 34,919.64
  4. Step 4: Simplify right side
    123,659.33x = 6,477,478,159.79
  5. Step 5: Solve for x
    x = 6,477,478,159.79/123,659.33
  6. Step 6: Final answer
    x = 52,381.64

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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.