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Finding the Fourth Proportional to 65,502.78, 98,184.08 and 33,881

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Solution

The fourth proportional to 65,502.78, 98,184.08 and 33,881 is: 50,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502.78 : 98,184.08 = 33,881 : x
  2. Step 2: Convert to fraction form
    65,502.78/98,184.08 = 33,881/x
  3. Step 3: Cross multiply
    65,502.78x = 98,184.08 × 33,881
  4. Step 4: Simplify right side
    65,502.78x = 3,326,574,814.48
  5. Step 5: Solve for x
    x = 3,326,574,814.48/65,502.78
  6. Step 6: Final answer
    x = 50,785.25

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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.