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Finding the Fourth Proportional to 85,478.64, 117,960.84 and 47,753.52

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Solution

The fourth proportional to 85,478.64, 117,960.84 and 47,753.52 is: 65,900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,478.64 : 117,960.84 = 47,753.52 : x
  2. Step 2: Convert to fraction form
    85,478.64/117,960.84 = 47,753.52/x
  3. Step 3: Cross multiply
    85,478.64x = 117,960.84 × 47,753.52
  4. Step 4: Simplify right side
    85,478.64x = 5,633,045,332.16
  5. Step 5: Solve for x
    x = 5,633,045,332.16/85,478.64
  6. Step 6: Final answer
    x = 65,900.03

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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.