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Finding the Fourth Proportional to 85,325, 117,748.50 and 47,599.24

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Solution

The fourth proportional to 85,325, 117,748.50 and 47,599.24 is: 65,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,325 : 117,748.50 = 47,599.24 : x
  2. Step 2: Convert to fraction form
    85,325/117,748.50 = 47,599.24/x
  3. Step 3: Cross multiply
    85,325x = 117,748.50 × 47,599.24
  4. Step 4: Simplify right side
    85,325x = 5,604,739,111.14
  5. Step 5: Solve for x
    x = 5,604,739,111.14/85,325
  6. Step 6: Final answer
    x = 65,686.95

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1.5x scale

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.