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Finding the Fourth Proportional to 64,646.64, 89,210.64 and 35,964.84

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Solution

The fourth proportional to 64,646.64, 89,210.64 and 35,964.84 is: 49,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646.64 : 89,210.64 = 35,964.84 : x
  2. Step 2: Convert to fraction form
    64,646.64/89,210.64 = 35,964.84/x
  3. Step 3: Cross multiply
    64,646.64x = 89,210.64 × 35,964.84
  4. Step 4: Simplify right side
    64,646.64x = 3,208,446,863.31
  5. Step 5: Solve for x
    x = 3,208,446,863.31/64,646.64
  6. Step 6: Final answer
    x = 49,630.53

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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.