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Finding the Fourth Proportional to 52,497.87, 78,747.62 and 29,271.93

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Solution

The fourth proportional to 52,497.87, 78,747.62 and 29,271.93 is: 43,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497.87 : 78,747.62 = 29,271.93 : x
  2. Step 2: Convert to fraction form
    52,497.87/78,747.62 = 29,271.93/x
  3. Step 3: Cross multiply
    52,497.87x = 78,747.62 × 29,271.93
  4. Step 4: Simplify right side
    52,497.87x = 2,305,094,673.95
  5. Step 5: Solve for x
    x = 2,305,094,673.95/52,497.87
  6. Step 6: Final answer
    x = 43,908.35

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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.