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Finding the Fourth Proportional to 52,097.68, 71,894.70 and 28,225

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Solution

The fourth proportional to 52,097.68, 71,894.70 and 28,225 is: 38,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.68 : 71,894.70 = 28,225 : x
  2. Step 2: Convert to fraction form
    52,097.68/71,894.70 = 28,225/x
  3. Step 3: Cross multiply
    52,097.68x = 71,894.70 × 28,225
  4. Step 4: Simplify right side
    52,097.68x = 2,029,227,907.50
  5. Step 5: Solve for x
    x = 2,029,227,907.50/52,097.68
  6. Step 6: Final answer
    x = 38,950.45

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1.5x scale

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.