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Finding the Fourth Proportional to 65,148.40, 97,743.38 and 29,119.30

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Solution

The fourth proportional to 65,148.40, 97,743.38 and 29,119.30 is: 43,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.40 : 97,743.38 = 29,119.30 : x
  2. Step 2: Convert to fraction form
    65,148.40/97,743.38 = 29,119.30/x
  3. Step 3: Cross multiply
    65,148.40x = 97,743.38 × 29,119.30
  4. Step 4: Simplify right side
    65,148.40x = 2,846,218,415.28
  5. Step 5: Solve for x
    x = 2,846,218,415.28/65,148.40
  6. Step 6: Final answer
    x = 43,688.23

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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.