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Finding the Fourth Proportional to 98,091.53, 147,138.65 and 27,970.83

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Solution

The fourth proportional to 98,091.53, 147,138.65 and 27,970.83 is: 41,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,091.53 : 147,138.65 = 27,970.83 : x
  2. Step 2: Convert to fraction form
    98,091.53/147,138.65 = 27,970.83/x
  3. Step 3: Cross multiply
    98,091.53x = 147,138.65 × 27,970.83
  4. Step 4: Simplify right side
    98,091.53x = 4,115,590,165.58
  5. Step 5: Solve for x
    x = 4,115,590,165.58/98,091.53
  6. Step 6: Final answer
    x = 41,956.63

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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.