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Finding the Fourth Proportional to 96,389.91, 133,018.06 and 53,948.45

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Solution

The fourth proportional to 96,389.91, 133,018.06 and 53,948.45 is: 74,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,389.91 : 133,018.06 = 53,948.45 : x
  2. Step 2: Convert to fraction form
    96,389.91/133,018.06 = 53,948.45/x
  3. Step 3: Cross multiply
    96,389.91x = 133,018.06 × 53,948.45
  4. Step 4: Simplify right side
    96,389.91x = 7,176,117,493.92
  5. Step 5: Solve for x
    x = 7,176,117,493.92/96,389.91
  6. Step 6: Final answer
    x = 74,448.85

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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.