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Finding the Fourth Proportional to 64,907.75, 89,572.70 and 35,099.75

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Solution

The fourth proportional to 64,907.75, 89,572.70 and 35,099.75 is: 48,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,907.75 : 89,572.70 = 35,099.75 : x
  2. Step 2: Convert to fraction form
    64,907.75/89,572.70 = 35,099.75/x
  3. Step 3: Cross multiply
    64,907.75x = 89,572.70 × 35,099.75
  4. Step 4: Simplify right side
    64,907.75x = 3,143,979,376.83
  5. Step 5: Solve for x
    x = 3,143,979,376.83/64,907.75
  6. Step 6: Final answer
    x = 48,437.66

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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.