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Finding the Fourth Proportional to 69,869.70, 96,420.06 and 38,038.74

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Solution

The fourth proportional to 69,869.70, 96,420.06 and 38,038.74 is: 52,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,869.70 : 96,420.06 = 38,038.74 : x
  2. Step 2: Convert to fraction form
    69,869.70/96,420.06 = 38,038.74/x
  3. Step 3: Cross multiply
    69,869.70x = 96,420.06 × 38,038.74
  4. Step 4: Simplify right side
    69,869.70x = 3,667,697,593.12
  5. Step 5: Solve for x
    x = 3,667,697,593.12/69,869.70
  6. Step 6: Final answer
    x = 52,493.39

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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.