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Finding the Fourth Proportional to 47,894.77, 71,842.16 and 14,615.01

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Solution

The fourth proportional to 47,894.77, 71,842.16 and 14,615.01 is: 21,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,894.77 : 71,842.16 = 14,615.01 : x
  2. Step 2: Convert to fraction form
    47,894.77/71,842.16 = 14,615.01/x
  3. Step 3: Cross multiply
    47,894.77x = 71,842.16 × 14,615.01
  4. Step 4: Simplify right side
    47,894.77x = 1,049,973,923.36
  5. Step 5: Solve for x
    x = 1,049,973,923.36/47,894.77
  6. Step 6: Final answer
    x = 21,922.52

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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.