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Finding the Fourth Proportional to 96,521.68, 133,196.36 and 53,503

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Solution

The fourth proportional to 96,521.68, 133,196.36 and 53,503 is: 73,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,521.68 : 133,196.36 = 53,503 : x
  2. Step 2: Convert to fraction form
    96,521.68/133,196.36 = 53,503/x
  3. Step 3: Cross multiply
    96,521.68x = 133,196.36 × 53,503
  4. Step 4: Simplify right side
    96,521.68x = 7,126,404,849.08
  5. Step 5: Solve for x
    x = 7,126,404,849.08/96,521.68
  6. Step 6: Final answer
    x = 73,832.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.