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Finding the Fourth Proportional to 85,075.50, 127,603.52 and 22,750.86

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Solution

The fourth proportional to 85,075.50, 127,603.52 and 22,750.86 is: 34,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,075.50 : 127,603.52 = 22,750.86 : x
  2. Step 2: Convert to fraction form
    85,075.50/127,603.52 = 22,750.86/x
  3. Step 3: Cross multiply
    85,075.50x = 127,603.52 × 22,750.86
  4. Step 4: Simplify right side
    85,075.50x = 2,903,089,819.03
  5. Step 5: Solve for x
    x = 2,903,089,819.03/85,075.50
  6. Step 6: Final answer
    x = 34,123.69

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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.