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Finding the Fourth Proportional to 29,978.71, 44,973.54 and 14,993.66

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Solution

The fourth proportional to 29,978.71, 44,973.54 and 14,993.66 is: 22,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.71 : 44,973.54 = 14,993.66 : x
  2. Step 2: Convert to fraction form
    29,978.71/44,973.54 = 14,993.66/x
  3. Step 3: Cross multiply
    29,978.71x = 44,973.54 × 14,993.66
  4. Step 4: Simplify right side
    29,978.71x = 674,318,080.19
  5. Step 5: Solve for x
    x = 674,318,080.19/29,978.71
  6. Step 6: Final answer
    x = 22,493.23

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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.