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Finding the Fourth Proportional to 52,784.34, 79,178.94 and 29,393.16

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Solution

The fourth proportional to 52,784.34, 79,178.94 and 29,393.16 is: 44,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784.34 : 79,178.94 = 29,393.16 : x
  2. Step 2: Convert to fraction form
    52,784.34/79,178.94 = 29,393.16/x
  3. Step 3: Cross multiply
    52,784.34x = 79,178.94 × 29,393.16
  4. Step 4: Simplify right side
    52,784.34x = 2,327,319,252.05
  5. Step 5: Solve for x
    x = 2,327,319,252.05/52,784.34
  6. Step 6: Final answer
    x = 44,091.09

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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.