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Finding the Fourth Proportional to 69,869.37, 96,420.14 and 38,038.20

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Solution

The fourth proportional to 69,869.37, 96,420.14 and 38,038.20 is: 52,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,869.37 : 96,420.14 = 38,038.20 : x
  2. Step 2: Convert to fraction form
    69,869.37/96,420.14 = 38,038.20/x
  3. Step 3: Cross multiply
    69,869.37x = 96,420.14 × 38,038.20
  4. Step 4: Simplify right side
    69,869.37x = 3,667,648,569.35
  5. Step 5: Solve for x
    x = 3,667,648,569.35/69,869.37
  6. Step 6: Final answer
    x = 52,492.94

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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.