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Finding the Fourth Proportional to 65,133.69, 97,701.26 and 22,984.16

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Solution

The fourth proportional to 65,133.69, 97,701.26 and 22,984.16 is: 34,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133.69 : 97,701.26 = 22,984.16 : x
  2. Step 2: Convert to fraction form
    65,133.69/97,701.26 = 22,984.16/x
  3. Step 3: Cross multiply
    65,133.69x = 97,701.26 × 22,984.16
  4. Step 4: Simplify right side
    65,133.69x = 2,245,580,788.61
  5. Step 5: Solve for x
    x = 2,245,580,788.61/65,133.69
  6. Step 6: Final answer
    x = 34,476.49

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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.