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Finding the Fourth Proportional to 65,112.66, 97,681.14 and 29,576.48

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Solution

The fourth proportional to 65,112.66, 97,681.14 and 29,576.48 is: 44,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.66 : 97,681.14 = 29,576.48 : x
  2. Step 2: Convert to fraction form
    65,112.66/97,681.14 = 29,576.48/x
  3. Step 3: Cross multiply
    65,112.66x = 97,681.14 × 29,576.48
  4. Step 4: Simplify right side
    65,112.66x = 2,889,063,795.18
  5. Step 5: Solve for x
    x = 2,889,063,795.18/65,112.66
  6. Step 6: Final answer
    x = 44,370.23

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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.