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Finding the Fourth Proportional to 97,316, 145,954.55 and 27,195.92

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Solution

The fourth proportional to 97,316, 145,954.55 and 27,195.92 is: 40,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,316 : 145,954.55 = 27,195.92 : x
  2. Step 2: Convert to fraction form
    97,316/145,954.55 = 27,195.92/x
  3. Step 3: Cross multiply
    97,316x = 145,954.55 × 27,195.92
  4. Step 4: Simplify right side
    97,316x = 3,969,368,265.44
  5. Step 5: Solve for x
    x = 3,969,368,265.44/97,316
  6. Step 6: Final answer
    x = 40,788.44

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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.