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Finding the Fourth Proportional to 65,092.69, 97,603.95 and 35,122.99

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Solution

The fourth proportional to 65,092.69, 97,603.95 and 35,122.99 is: 52,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.69 : 97,603.95 = 35,122.99 : x
  2. Step 2: Convert to fraction form
    65,092.69/97,603.95 = 35,122.99/x
  3. Step 3: Cross multiply
    65,092.69x = 97,603.95 × 35,122.99
  4. Step 4: Simplify right side
    65,092.69x = 3,428,142,559.81
  5. Step 5: Solve for x
    x = 3,428,142,559.81/65,092.69
  6. Step 6: Final answer
    x = 52,665.55

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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.