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Finding the Fourth Proportional to 47,954.51, 71,929.11 and 14,674.58

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Solution

The fourth proportional to 47,954.51, 71,929.11 and 14,674.58 is: 22,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.51 : 71,929.11 = 14,674.58 : x
  2. Step 2: Convert to fraction form
    47,954.51/71,929.11 = 14,674.58/x
  3. Step 3: Cross multiply
    47,954.51x = 71,929.11 × 14,674.58
  4. Step 4: Simplify right side
    47,954.51x = 1,055,529,479.02
  5. Step 5: Solve for x
    x = 1,055,529,479.02/47,954.51
  6. Step 6: Final answer
    x = 22,011.06

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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.