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Finding the Fourth Proportional to 37,978.48, 52,388.40 and 22,860.64

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Solution

The fourth proportional to 37,978.48, 52,388.40 and 22,860.64 is: 31,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.48 : 52,388.40 = 22,860.64 : x
  2. Step 2: Convert to fraction form
    37,978.48/52,388.40 = 22,860.64/x
  3. Step 3: Cross multiply
    37,978.48x = 52,388.40 × 22,860.64
  4. Step 4: Simplify right side
    37,978.48x = 1,197,632,352.58
  5. Step 5: Solve for x
    x = 1,197,632,352.58/37,978.48
  6. Step 6: Final answer
    x = 31,534.50

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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.