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Finding the Fourth Proportional to 100,977.70, 151,466.55 and 34,492.90

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Solution

The fourth proportional to 100,977.70, 151,466.55 and 34,492.90 is: 51,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977.70 : 151,466.55 = 34,492.90 : x
  2. Step 2: Convert to fraction form
    100,977.70/151,466.55 = 34,492.90/x
  3. Step 3: Cross multiply
    100,977.70x = 151,466.55 × 34,492.90
  4. Step 4: Simplify right side
    100,977.70x = 5,224,520,562.50
  5. Step 5: Solve for x
    x = 5,224,520,562.50/100,977.70
  6. Step 6: Final answer
    x = 51,739.35

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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.