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Finding the Fourth Proportional to 52,070.95, 71,857.94 and 28,197.65

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Solution

The fourth proportional to 52,070.95, 71,857.94 and 28,197.65 is: 38,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070.95 : 71,857.94 = 28,197.65 : x
  2. Step 2: Convert to fraction form
    52,070.95/71,857.94 = 28,197.65/x
  3. Step 3: Cross multiply
    52,070.95x = 71,857.94 × 28,197.65
  4. Step 4: Simplify right side
    52,070.95x = 2,026,224,753.05
  5. Step 5: Solve for x
    x = 2,026,224,753.05/52,070.95
  6. Step 6: Final answer
    x = 38,912.77

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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.