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Finding the Fourth Proportional to 64,864.32, 89,512.61 and 36,569.81

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Solution

The fourth proportional to 64,864.32, 89,512.61 and 36,569.81 is: 50,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,864.32 : 89,512.61 = 36,569.81 : x
  2. Step 2: Convert to fraction form
    64,864.32/89,512.61 = 36,569.81/x
  3. Step 3: Cross multiply
    64,864.32x = 89,512.61 × 36,569.81
  4. Step 4: Simplify right side
    64,864.32x = 3,273,458,509.89
  5. Step 5: Solve for x
    x = 3,273,458,509.89/64,864.32
  6. Step 6: Final answer
    x = 50,466.24

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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.