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Finding the Fourth Proportional to 85,165.56, 117,526.95 and 47,439

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Solution

The fourth proportional to 85,165.56, 117,526.95 and 47,439 is: 65,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,165.56 : 117,526.95 = 47,439 : x
  2. Step 2: Convert to fraction form
    85,165.56/117,526.95 = 47,439/x
  3. Step 3: Cross multiply
    85,165.56x = 117,526.95 × 47,439
  4. Step 4: Simplify right side
    85,165.56x = 5,575,360,981.05
  5. Step 5: Solve for x
    x = 5,575,360,981.05/85,165.56
  6. Step 6: Final answer
    x = 65,464.97

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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.