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Finding the Fourth Proportional to 96,478.62, 133,136.64 and 54,034.98

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Solution

The fourth proportional to 96,478.62, 133,136.64 and 54,034.98 is: 74,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,478.62 : 133,136.64 = 54,034.98 : x
  2. Step 2: Convert to fraction form
    96,478.62/133,136.64 = 54,034.98/x
  3. Step 3: Cross multiply
    96,478.62x = 133,136.64 × 54,034.98
  4. Step 4: Simplify right side
    96,478.62x = 7,194,035,679.67
  5. Step 5: Solve for x
    x = 7,194,035,679.67/96,478.62
  6. Step 6: Final answer
    x = 74,566.11

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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.