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Finding the Fourth Proportional to 70,584.86, 105,777.75 and 39,009.14

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Solution

The fourth proportional to 70,584.86, 105,777.75 and 39,009.14 is: 58,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,584.86 : 105,777.75 = 39,009.14 : x
  2. Step 2: Convert to fraction form
    70,584.86/105,777.75 = 39,009.14/x
  3. Step 3: Cross multiply
    70,584.86x = 105,777.75 × 39,009.14
  4. Step 4: Simplify right side
    70,584.86x = 4,126,299,058.64
  5. Step 5: Solve for x
    x = 4,126,299,058.64/70,584.86
  6. Step 6: Final answer
    x = 58,458.70

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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.