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Finding the Fourth Proportional to 154,680, 232,020 and 37,944

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Solution

The fourth proportional to 154,680, 232,020 and 37,944 is: 56,916

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,680 : 232,020 = 37,944 : x
  2. Step 2: Convert to fraction form
    154,680/232,020 = 37,944/x
  3. Step 3: Cross multiply
    154,680x = 232,020 × 37,944
  4. Step 4: Simplify right side
    154,680x = 8,803,766,880
  5. Step 5: Solve for x
    x = 8,803,766,880/154,680
  6. Step 6: Final answer
    x = 56,916

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Why These Related Problems?

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