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Finding the Fourth Proportional to 72,881.78, 109,075.75 and 44,819.60

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Solution

The fourth proportional to 72,881.78, 109,075.75 and 44,819.60 is: 67,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,881.78 : 109,075.75 = 44,819.60 : x
  2. Step 2: Convert to fraction form
    72,881.78/109,075.75 = 44,819.60/x
  3. Step 3: Cross multiply
    72,881.78x = 109,075.75 × 44,819.60
  4. Step 4: Simplify right side
    72,881.78x = 4,888,731,484.70
  5. Step 5: Solve for x
    x = 4,888,731,484.70/72,881.78
  6. Step 6: Final answer
    x = 67,077.55

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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.