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Finding the Fourth Proportional to 65,531.81, 98,272.74 and 23,404.03

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Solution

The fourth proportional to 65,531.81, 98,272.74 and 23,404.03 is: 35,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,531.81 : 98,272.74 = 23,404.03 : x
  2. Step 2: Convert to fraction form
    65,531.81/98,272.74 = 23,404.03/x
  3. Step 3: Cross multiply
    65,531.81x = 98,272.74 × 23,404.03
  4. Step 4: Simplify right side
    65,531.81x = 2,299,977,909.46
  5. Step 5: Solve for x
    x = 2,299,977,909.46/65,531.81
  6. Step 6: Final answer
    x = 35,097.12

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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.