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Finding the Fourth Proportional to 73,522.40, 110,283.60 and 47,278.40

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Solution

The fourth proportional to 73,522.40, 110,283.60 and 47,278.40 is: 70,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,522.40 : 110,283.60 = 47,278.40 : x
  2. Step 2: Convert to fraction form
    73,522.40/110,283.60 = 47,278.40/x
  3. Step 3: Cross multiply
    73,522.40x = 110,283.60 × 47,278.40
  4. Step 4: Simplify right side
    73,522.40x = 5,214,032,154.24
  5. Step 5: Solve for x
    x = 5,214,032,154.24/73,522.40
  6. Step 6: Final answer
    x = 70,917.60

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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.