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Finding the Fourth Proportional to 65,325.84, 90,148.05 and 38,107.14

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Solution

The fourth proportional to 65,325.84, 90,148.05 and 38,107.14 is: 52,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,325.84 : 90,148.05 = 38,107.14 : x
  2. Step 2: Convert to fraction form
    65,325.84/90,148.05 = 38,107.14/x
  3. Step 3: Cross multiply
    65,325.84x = 90,148.05 × 38,107.14
  4. Step 4: Simplify right side
    65,325.84x = 3,435,284,362.08
  5. Step 5: Solve for x
    x = 3,435,284,362.08/65,325.84
  6. Step 6: Final answer
    x = 52,586.91

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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.