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Finding the Fourth Proportional to 97,039.69, 145,670.25 and 65,042.52

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Solution

The fourth proportional to 97,039.69, 145,670.25 and 65,042.52 is: 97,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,039.69 : 145,670.25 = 65,042.52 : x
  2. Step 2: Convert to fraction form
    97,039.69/145,670.25 = 65,042.52/x
  3. Step 3: Cross multiply
    97,039.69x = 145,670.25 × 65,042.52
  4. Step 4: Simplify right side
    97,039.69x = 9,474,760,149.03
  5. Step 5: Solve for x
    x = 9,474,760,149.03/97,039.69
  6. Step 6: Final answer
    x = 97,637.99

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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.