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Finding the Fourth Proportional to 65,378.40, 98,182.80 and 50,623.20

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Solution

The fourth proportional to 65,378.40, 98,182.80 and 50,623.20 is: 76,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.40 : 98,182.80 = 50,623.20 : x
  2. Step 2: Convert to fraction form
    65,378.40/98,182.80 = 50,623.20/x
  3. Step 3: Cross multiply
    65,378.40x = 98,182.80 × 50,623.20
  4. Step 4: Simplify right side
    65,378.40x = 4,970,327,520.96
  5. Step 5: Solve for x
    x = 4,970,327,520.96/65,378.40
  6. Step 6: Final answer
    x = 76,024.00

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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.