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Finding the Fourth Proportional to 69,738.16, 96,240.54 and 37,909.22

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Solution

The fourth proportional to 69,738.16, 96,240.54 and 37,909.22 is: 52,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,738.16 : 96,240.54 = 37,909.22 : x
  2. Step 2: Convert to fraction form
    69,738.16/96,240.54 = 37,909.22/x
  3. Step 3: Cross multiply
    69,738.16x = 96,240.54 × 37,909.22
  4. Step 4: Simplify right side
    69,738.16x = 3,648,403,803.78
  5. Step 5: Solve for x
    x = 3,648,403,803.78/69,738.16
  6. Step 6: Final answer
    x = 52,315.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.