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Finding the Fourth Proportional to 76,041.40, 114,051.30 and 26,123.80

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Solution

The fourth proportional to 76,041.40, 114,051.30 and 26,123.80 is: 39,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,041.40 : 114,051.30 = 26,123.80 : x
  2. Step 2: Convert to fraction form
    76,041.40/114,051.30 = 26,123.80/x
  3. Step 3: Cross multiply
    76,041.40x = 114,051.30 × 26,123.80
  4. Step 4: Simplify right side
    76,041.40x = 2,979,453,350.94
  5. Step 5: Solve for x
    x = 2,979,453,350.94/76,041.40
  6. Step 6: Final answer
    x = 39,181.99

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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.