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Finding the Fourth Proportional to 95,388.94, 143,086.46 and 47,978.16

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Solution

The fourth proportional to 95,388.94, 143,086.46 and 47,978.16 is: 71,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,388.94 : 143,086.46 = 47,978.16 : x
  2. Step 2: Convert to fraction form
    95,388.94/143,086.46 = 47,978.16/x
  3. Step 3: Cross multiply
    95,388.94x = 143,086.46 × 47,978.16
  4. Step 4: Simplify right side
    95,388.94x = 6,865,025,071.71
  5. Step 5: Solve for x
    x = 6,865,025,071.71/95,388.94
  6. Step 6: Final answer
    x = 71,968.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.