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Finding the Fourth Proportional to 65,798.82, 98,712.84 and 30,719.34

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Solution

The fourth proportional to 65,798.82, 98,712.84 and 30,719.34 is: 46,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,798.82 : 98,712.84 = 30,719.34 : x
  2. Step 2: Convert to fraction form
    65,798.82/98,712.84 = 30,719.34/x
  3. Step 3: Cross multiply
    65,798.82x = 98,712.84 × 30,719.34
  4. Step 4: Simplify right side
    65,798.82x = 3,032,393,294.33
  5. Step 5: Solve for x
    x = 3,032,393,294.33/65,798.82
  6. Step 6: Final answer
    x = 46,085.83

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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.