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Finding the Fourth Proportional to 76,046.40, 114,075.90 and 28,027.98

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Solution

The fourth proportional to 76,046.40, 114,075.90 and 28,027.98 is: 42,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046.40 : 114,075.90 = 28,027.98 : x
  2. Step 2: Convert to fraction form
    76,046.40/114,075.90 = 28,027.98/x
  3. Step 3: Cross multiply
    76,046.40x = 114,075.90 × 28,027.98
  4. Step 4: Simplify right side
    76,046.40x = 3,197,317,043.68
  5. Step 5: Solve for x
    x = 3,197,317,043.68/76,046.40
  6. Step 6: Final answer
    x = 42,044.29

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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.