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Finding the Fourth Proportional to 96,490, 133,156.20 and 54,048.43

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Solution

The fourth proportional to 96,490, 133,156.20 and 54,048.43 is: 74,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,490 : 133,156.20 = 54,048.43 : x
  2. Step 2: Convert to fraction form
    96,490/133,156.20 = 54,048.43/x
  3. Step 3: Cross multiply
    96,490x = 133,156.20 × 54,048.43
  4. Step 4: Simplify right side
    96,490x = 7,196,883,554.77
  5. Step 5: Solve for x
    x = 7,196,883,554.77/96,490
  6. Step 6: Final answer
    x = 74,586.83

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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.