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Finding the Fourth Proportional to 23,670.08, 32,802.80 and 23,336

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Solution

The fourth proportional to 23,670.08, 32,802.80 and 23,336 is: 32,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670.08 : 32,802.80 = 23,336 : x
  2. Step 2: Convert to fraction form
    23,670.08/32,802.80 = 23,336/x
  3. Step 3: Cross multiply
    23,670.08x = 32,802.80 × 23,336
  4. Step 4: Simplify right side
    23,670.08x = 765,486,140.80
  5. Step 5: Solve for x
    x = 765,486,140.80/23,670.08
  6. Step 6: Final answer
    x = 32,339.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.