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Finding the Fourth Proportional to 34,326.60, 51,480.78 and 14,595

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Solution

The fourth proportional to 34,326.60, 51,480.78 and 14,595 is: 21,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,326.60 : 51,480.78 = 14,595 : x
  2. Step 2: Convert to fraction form
    34,326.60/51,480.78 = 14,595/x
  3. Step 3: Cross multiply
    34,326.60x = 51,480.78 × 14,595
  4. Step 4: Simplify right side
    34,326.60x = 751,361,984.10
  5. Step 5: Solve for x
    x = 751,361,984.10/34,326.60
  6. Step 6: Final answer
    x = 21,888.62

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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.