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Finding the Fourth Proportional to 37,596, 56,384.76 and 16,541.33

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Solution

The fourth proportional to 37,596, 56,384.76 and 16,541.33 is: 24,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,596 : 56,384.76 = 16,541.33 : x
  2. Step 2: Convert to fraction form
    37,596/56,384.76 = 16,541.33/x
  3. Step 3: Cross multiply
    37,596x = 56,384.76 × 16,541.33
  4. Step 4: Simplify right side
    37,596x = 932,678,640.21
  5. Step 5: Solve for x
    x = 932,678,640.21/37,596
  6. Step 6: Final answer
    x = 24,807.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.