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Finding the Fourth Proportional to 95,422, 143,133.06 and 29,758

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Solution

The fourth proportional to 95,422, 143,133.06 and 29,758 is: 44,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,422 : 143,133.06 = 29,758 : x
  2. Step 2: Convert to fraction form
    95,422/143,133.06 = 29,758/x
  3. Step 3: Cross multiply
    95,422x = 143,133.06 × 29,758
  4. Step 4: Simplify right side
    95,422x = 4,259,353,599.48
  5. Step 5: Solve for x
    x = 4,259,353,599.48/95,422
  6. Step 6: Final answer
    x = 44,637.02

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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.