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Finding the Fourth Proportional to 43,824, 60,477.12 and 23,952

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Solution

The fourth proportional to 43,824, 60,477.12 and 23,952 is: 33,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824 : 60,477.12 = 23,952 : x
  2. Step 2: Convert to fraction form
    43,824/60,477.12 = 23,952/x
  3. Step 3: Cross multiply
    43,824x = 60,477.12 × 23,952
  4. Step 4: Simplify right side
    43,824x = 1,448,547,978.24
  5. Step 5: Solve for x
    x = 1,448,547,978.24/43,824
  6. Step 6: Final answer
    x = 33,053.76

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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.