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Finding the Fourth Proportional to 29,985.68, 44,978.52 and 9,209.36

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Solution

The fourth proportional to 29,985.68, 44,978.52 and 9,209.36 is: 13,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.68 : 44,978.52 = 9,209.36 : x
  2. Step 2: Convert to fraction form
    29,985.68/44,978.52 = 9,209.36/x
  3. Step 3: Cross multiply
    29,985.68x = 44,978.52 × 9,209.36
  4. Step 4: Simplify right side
    29,985.68x = 414,223,382.95
  5. Step 5: Solve for x
    x = 414,223,382.95/29,985.68
  6. Step 6: Final answer
    x = 13,814.04

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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.