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Finding the Fourth Proportional to 98,054.82, 147,057.93 and 27,934.74

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Solution

The fourth proportional to 98,054.82, 147,057.93 and 27,934.74 is: 41,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,054.82 : 147,057.93 = 27,934.74 : x
  2. Step 2: Convert to fraction form
    98,054.82/147,057.93 = 27,934.74/x
  3. Step 3: Cross multiply
    98,054.82x = 147,057.93 × 27,934.74
  4. Step 4: Simplify right side
    98,054.82x = 4,108,025,039.49
  5. Step 5: Solve for x
    x = 4,108,025,039.49/98,054.82
  6. Step 6: Final answer
    x = 41,895.19

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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.