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Finding the Fourth Proportional to 64,892, 89,564 and 36,598.24

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Solution

The fourth proportional to 64,892, 89,564 and 36,598.24 is: 50,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,892 : 89,564 = 36,598.24 : x
  2. Step 2: Convert to fraction form
    64,892/89,564 = 36,598.24/x
  3. Step 3: Cross multiply
    64,892x = 89,564 × 36,598.24
  4. Step 4: Simplify right side
    64,892x = 3,277,884,767.36
  5. Step 5: Solve for x
    x = 3,277,884,767.36/64,892
  6. Step 6: Final answer
    x = 50,512.93

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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.