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Finding the Fourth Proportional to 69,657.17, 96,124.32 and 37,825.38

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Solution

The fourth proportional to 69,657.17, 96,124.32 and 37,825.38 is: 52,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,657.17 : 96,124.32 = 37,825.38 : x
  2. Step 2: Convert to fraction form
    69,657.17/96,124.32 = 37,825.38/x
  3. Step 3: Cross multiply
    69,657.17x = 96,124.32 × 37,825.38
  4. Step 4: Simplify right side
    69,657.17x = 3,635,938,931.24
  5. Step 5: Solve for x
    x = 3,635,938,931.24/69,657.17
  6. Step 6: Final answer
    x = 52,197.63

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Why These Related Problems?

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