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Finding the Fourth Proportional to 52,165.72, 78,143.58 and 24,046.60

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Solution

The fourth proportional to 52,165.72, 78,143.58 and 24,046.60 is: 36,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165.72 : 78,143.58 = 24,046.60 : x
  2. Step 2: Convert to fraction form
    52,165.72/78,143.58 = 24,046.60/x
  3. Step 3: Cross multiply
    52,165.72x = 78,143.58 × 24,046.60
  4. Step 4: Simplify right side
    52,165.72x = 1,879,087,410.83
  5. Step 5: Solve for x
    x = 1,879,087,410.83/52,165.72
  6. Step 6: Final answer
    x = 36,021.50

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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.