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Finding the Fourth Proportional to 64,815, 89,444.76 and 35,007

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Solution

The fourth proportional to 64,815, 89,444.76 and 35,007 is: 48,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,815 : 89,444.76 = 35,007 : x
  2. Step 2: Convert to fraction form
    64,815/89,444.76 = 35,007/x
  3. Step 3: Cross multiply
    64,815x = 89,444.76 × 35,007
  4. Step 4: Simplify right side
    64,815x = 3,131,192,713.32
  5. Step 5: Solve for x
    x = 3,131,192,713.32/64,815
  6. Step 6: Final answer
    x = 48,309.69

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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.