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Finding the Fourth Proportional to 66,475.40, 99,713.10 and 38,827.40

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Solution

The fourth proportional to 66,475.40, 99,713.10 and 38,827.40 is: 58,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,475.40 : 99,713.10 = 38,827.40 : x
  2. Step 2: Convert to fraction form
    66,475.40/99,713.10 = 38,827.40/x
  3. Step 3: Cross multiply
    66,475.40x = 99,713.10 × 38,827.40
  4. Step 4: Simplify right side
    66,475.40x = 3,871,600,418.94
  5. Step 5: Solve for x
    x = 3,871,600,418.94/66,475.40
  6. Step 6: Final answer
    x = 58,241.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.