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Finding the Fourth Proportional to 37,678.47, 51,985.64 and 24,257.49

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Solution

The fourth proportional to 37,678.47, 51,985.64 and 24,257.49 is: 33,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,678.47 : 51,985.64 = 24,257.49 : x
  2. Step 2: Convert to fraction form
    37,678.47/51,985.64 = 24,257.49/x
  3. Step 3: Cross multiply
    37,678.47x = 51,985.64 × 24,257.49
  4. Step 4: Simplify right side
    37,678.47x = 1,261,041,021.16
  5. Step 5: Solve for x
    x = 1,261,041,021.16/37,678.47
  6. Step 6: Final answer
    x = 33,468.48

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