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Finding the Fourth Proportional to 69,803.96, 96,329.39 and 37,972.78

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Solution

The fourth proportional to 69,803.96, 96,329.39 and 37,972.78 is: 52,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,803.96 : 96,329.39 = 37,972.78 : x
  2. Step 2: Convert to fraction form
    69,803.96/96,329.39 = 37,972.78/x
  3. Step 3: Cross multiply
    69,803.96x = 96,329.39 × 37,972.78
  4. Step 4: Simplify right side
    69,803.96x = 3,657,894,303.32
  5. Step 5: Solve for x
    x = 3,657,894,303.32/69,803.96
  6. Step 6: Final answer
    x = 52,402.39

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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.