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Finding the Fourth Proportional to 52,878.77, 72,962.60 and 30,224.94

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Solution

The fourth proportional to 52,878.77, 72,962.60 and 30,224.94 is: 41,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.77 : 72,962.60 = 30,224.94 : x
  2. Step 2: Convert to fraction form
    52,878.77/72,962.60 = 30,224.94/x
  3. Step 3: Cross multiply
    52,878.77x = 72,962.60 × 30,224.94
  4. Step 4: Simplify right side
    52,878.77x = 2,205,290,207.24
  5. Step 5: Solve for x
    x = 2,205,290,207.24/52,878.77
  6. Step 6: Final answer
    x = 41,704.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.