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Finding the Fourth Proportional to 122,672.58, 183,973.32 and 47,776.02

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Solution

The fourth proportional to 122,672.58, 183,973.32 and 47,776.02 is: 71,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,672.58 : 183,973.32 = 47,776.02 : x
  2. Step 2: Convert to fraction form
    122,672.58/183,973.32 = 47,776.02/x
  3. Step 3: Cross multiply
    122,672.58x = 183,973.32 × 47,776.02
  4. Step 4: Simplify right side
    122,672.58x = 8,789,513,015.79
  5. Step 5: Solve for x
    x = 8,789,513,015.79/122,672.58
  6. Step 6: Final answer
    x = 71,650.18

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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.