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Finding the Fourth Proportional to 64,541.82, 89,071.67 and 36,247.50

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Solution

The fourth proportional to 64,541.82, 89,071.67 and 36,247.50 is: 50,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,541.82 : 89,071.67 = 36,247.50 : x
  2. Step 2: Convert to fraction form
    64,541.82/89,071.67 = 36,247.50/x
  3. Step 3: Cross multiply
    64,541.82x = 89,071.67 × 36,247.50
  4. Step 4: Simplify right side
    64,541.82x = 3,228,625,177.09
  5. Step 5: Solve for x
    x = 3,228,625,177.09/64,541.82
  6. Step 6: Final answer
    x = 50,023.77

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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.