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Finding the Fourth Proportional to 45,926.40, 68,774.40 and 30,259.20

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Solution

The fourth proportional to 45,926.40, 68,774.40 and 30,259.20 is: 45,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,926.40 : 68,774.40 = 30,259.20 : x
  2. Step 2: Convert to fraction form
    45,926.40/68,774.40 = 30,259.20/x
  3. Step 3: Cross multiply
    45,926.40x = 68,774.40 × 30,259.20
  4. Step 4: Simplify right side
    45,926.40x = 2,081,058,324.48
  5. Step 5: Solve for x
    x = 2,081,058,324.48/45,926.40
  6. Step 6: Final answer
    x = 45,312.90

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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.