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Finding the Fourth Proportional to 52,097.72, 71,894.72 and 28,224.98

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Solution

The fourth proportional to 52,097.72, 71,894.72 and 28,224.98 is: 38,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.72 : 71,894.72 = 28,224.98 : x
  2. Step 2: Convert to fraction form
    52,097.72/71,894.72 = 28,224.98/x
  3. Step 3: Cross multiply
    52,097.72x = 71,894.72 × 28,224.98
  4. Step 4: Simplify right side
    52,097.72x = 2,029,227,034.11
  5. Step 5: Solve for x
    x = 2,029,227,034.11/52,097.72
  6. Step 6: Final answer
    x = 38,950.40

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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.