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Finding the Fourth Proportional to 29,980.04, 44,961.42 and 9,205.16

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Solution

The fourth proportional to 29,980.04, 44,961.42 and 9,205.16 is: 13,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.04 : 44,961.42 = 9,205.16 : x
  2. Step 2: Convert to fraction form
    29,980.04/44,961.42 = 9,205.16/x
  3. Step 3: Cross multiply
    29,980.04x = 44,961.42 × 9,205.16
  4. Step 4: Simplify right side
    29,980.04x = 413,877,064.93
  5. Step 5: Solve for x
    x = 413,877,064.93/29,980.04
  6. Step 6: Final answer
    x = 13,805.09

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1.5x scale

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.