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Finding the Fourth Proportional to 65,695.74, 98,457.90 and 30,144.22

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Solution

The fourth proportional to 65,695.74, 98,457.90 and 30,144.22 is: 45,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.74 : 98,457.90 = 30,144.22 : x
  2. Step 2: Convert to fraction form
    65,695.74/98,457.90 = 30,144.22/x
  3. Step 3: Cross multiply
    65,695.74x = 98,457.90 × 30,144.22
  4. Step 4: Simplify right side
    65,695.74x = 2,967,936,598.34
  5. Step 5: Solve for x
    x = 2,967,936,598.34/65,695.74
  6. Step 6: Final answer
    x = 45,177.00

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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.