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Finding the Fourth Proportional to 99,547.40, 149,321.10 and 29,427.40

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Solution

The fourth proportional to 99,547.40, 149,321.10 and 29,427.40 is: 44,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,547.40 : 149,321.10 = 29,427.40 : x
  2. Step 2: Convert to fraction form
    99,547.40/149,321.10 = 29,427.40/x
  3. Step 3: Cross multiply
    99,547.40x = 149,321.10 × 29,427.40
  4. Step 4: Simplify right side
    99,547.40x = 4,394,131,738.14
  5. Step 5: Solve for x
    x = 4,394,131,738.14/99,547.40
  6. Step 6: Final answer
    x = 44,141.10

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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.