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Finding the Fourth Proportional to 65,502.72, 98,273.52 and 30,463.20

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Solution

The fourth proportional to 65,502.72, 98,273.52 and 30,463.20 is: 45,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502.72 : 98,273.52 = 30,463.20 : x
  2. Step 2: Convert to fraction form
    65,502.72/98,273.52 = 30,463.20/x
  3. Step 3: Cross multiply
    65,502.72x = 98,273.52 × 30,463.20
  4. Step 4: Simplify right side
    65,502.72x = 2,993,725,894.46
  5. Step 5: Solve for x
    x = 2,993,725,894.46/65,502.72
  6. Step 6: Final answer
    x = 45,703.84

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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.