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Finding the Fourth Proportional to 43,776, 60,411.20 and 23,904

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Solution

The fourth proportional to 43,776, 60,411.20 and 23,904 is: 32,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776 : 60,411.20 = 23,904 : x
  2. Step 2: Convert to fraction form
    43,776/60,411.20 = 23,904/x
  3. Step 3: Cross multiply
    43,776x = 60,411.20 × 23,904
  4. Step 4: Simplify right side
    43,776x = 1,444,069,324.80
  5. Step 5: Solve for x
    x = 1,444,069,324.80/43,776
  6. Step 6: Final answer
    x = 32,987.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.