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Finding the Fourth Proportional to 96,653, 133,381.38 and 56,394.44

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Solution

The fourth proportional to 96,653, 133,381.38 and 56,394.44 is: 77,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,653 : 133,381.38 = 56,394.44 : x
  2. Step 2: Convert to fraction form
    96,653/133,381.38 = 56,394.44/x
  3. Step 3: Cross multiply
    96,653x = 133,381.38 × 56,394.44
  4. Step 4: Simplify right side
    96,653x = 7,521,968,231.53
  5. Step 5: Solve for x
    x = 7,521,968,231.53/96,653
  6. Step 6: Final answer
    x = 77,824.47

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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.