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Finding the Fourth Proportional to 52,097.63, 78,146.44 and 12,654.48

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Solution

The fourth proportional to 52,097.63, 78,146.44 and 12,654.48 is: 18,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.63 : 78,146.44 = 12,654.48 : x
  2. Step 2: Convert to fraction form
    52,097.63/78,146.44 = 12,654.48/x
  3. Step 3: Cross multiply
    52,097.63x = 78,146.44 × 12,654.48
  4. Step 4: Simplify right side
    52,097.63x = 988,902,284.82
  5. Step 5: Solve for x
    x = 988,902,284.82/52,097.63
  6. Step 6: Final answer
    x = 18,981.71

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1.5x scale

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.