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Finding the Fourth Proportional to 127,417.88, 191,125.74 and 32,647.88

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Solution

The fourth proportional to 127,417.88, 191,125.74 and 32,647.88 is: 48,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,417.88 : 191,125.74 = 32,647.88 : x
  2. Step 2: Convert to fraction form
    127,417.88/191,125.74 = 32,647.88/x
  3. Step 3: Cross multiply
    127,417.88x = 191,125.74 × 32,647.88
  4. Step 4: Simplify right side
    127,417.88x = 6,239,850,224.43
  5. Step 5: Solve for x
    x = 6,239,850,224.43/127,417.88
  6. Step 6: Final answer
    x = 48,971.54

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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.