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Finding the Fourth Proportional to 37,924.47, 52,313.22 and 24,503.64

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Solution

The fourth proportional to 37,924.47, 52,313.22 and 24,503.64 is: 33,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,924.47 : 52,313.22 = 24,503.64 : x
  2. Step 2: Convert to fraction form
    37,924.47/52,313.22 = 24,503.64/x
  3. Step 3: Cross multiply
    37,924.47x = 52,313.22 × 24,503.64
  4. Step 4: Simplify right side
    37,924.47x = 1,281,864,113.95
  5. Step 5: Solve for x
    x = 1,281,864,113.95/37,924.47
  6. Step 6: Final answer
    x = 33,800.45

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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.