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Finding the Fourth Proportional to 127,783.86, 191,704 and 39,044.30

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Solution

The fourth proportional to 127,783.86, 191,704 and 39,044.30 is: 58,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,783.86 : 191,704 = 39,044.30 : x
  2. Step 2: Convert to fraction form
    127,783.86/191,704 = 39,044.30/x
  3. Step 3: Cross multiply
    127,783.86x = 191,704 × 39,044.30
  4. Step 4: Simplify right side
    127,783.86x = 7,484,948,487.20
  5. Step 5: Solve for x
    x = 7,484,948,487.20/127,783.86
  6. Step 6: Final answer
    x = 58,575.07

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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.