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Finding the Fourth Proportional to 127,907.76, 191,832.48 and 34,420.80

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Solution

The fourth proportional to 127,907.76, 191,832.48 and 34,420.80 is: 51,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,907.76 : 191,832.48 = 34,420.80 : x
  2. Step 2: Convert to fraction form
    127,907.76/191,832.48 = 34,420.80/x
  3. Step 3: Cross multiply
    127,907.76x = 191,832.48 × 34,420.80
  4. Step 4: Simplify right side
    127,907.76x = 6,603,027,427.58
  5. Step 5: Solve for x
    x = 6,603,027,427.58/127,907.76
  6. Step 6: Final answer
    x = 51,623.35

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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.