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Finding the Fourth Proportional to 52,474.83, 72,412.62 and 29,810.82

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Solution

The fourth proportional to 52,474.83, 72,412.62 and 29,810.82 is: 41,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474.83 : 72,412.62 = 29,810.82 : x
  2. Step 2: Convert to fraction form
    52,474.83/72,412.62 = 29,810.82/x
  3. Step 3: Cross multiply
    52,474.83x = 72,412.62 × 29,810.82
  4. Step 4: Simplify right side
    52,474.83x = 2,158,679,580.55
  5. Step 5: Solve for x
    x = 2,158,679,580.55/52,474.83
  6. Step 6: Final answer
    x = 41,137.43

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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.