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Finding the Fourth Proportional to 97,236, 145,878.60 and 27,115.32

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Solution

The fourth proportional to 97,236, 145,878.60 and 27,115.32 is: 40,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,236 : 145,878.60 = 27,115.32 : x
  2. Step 2: Convert to fraction form
    97,236/145,878.60 = 27,115.32/x
  3. Step 3: Cross multiply
    97,236x = 145,878.60 × 27,115.32
  4. Step 4: Simplify right side
    97,236x = 3,955,544,920.15
  5. Step 5: Solve for x
    x = 3,955,544,920.15/97,236
  6. Step 6: Final answer
    x = 40,679.84

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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.