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Finding the Fourth Proportional to 64,903.50, 89,566.84 and 35,095.50

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Solution

The fourth proportional to 64,903.50, 89,566.84 and 35,095.50 is: 48,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,903.50 : 89,566.84 = 35,095.50 : x
  2. Step 2: Convert to fraction form
    64,903.50/89,566.84 = 35,095.50/x
  3. Step 3: Cross multiply
    64,903.50x = 89,566.84 × 35,095.50
  4. Step 4: Simplify right side
    64,903.50x = 3,143,392,857.74
  5. Step 5: Solve for x
    x = 3,143,392,857.74/64,903.50
  6. Step 6: Final answer
    x = 48,431.79

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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.