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Finding the Fourth Proportional to 65,340.36, 97,978.82 and 38,330.08

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Solution

The fourth proportional to 65,340.36, 97,978.82 and 38,330.08 is: 57,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340.36 : 97,978.82 = 38,330.08 : x
  2. Step 2: Convert to fraction form
    65,340.36/97,978.82 = 38,330.08/x
  3. Step 3: Cross multiply
    65,340.36x = 97,978.82 × 38,330.08
  4. Step 4: Simplify right side
    65,340.36x = 3,755,536,008.91
  5. Step 5: Solve for x
    x = 3,755,536,008.91/65,340.36
  6. Step 6: Final answer
    x = 57,476.51

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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.