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Finding the Fourth Proportional to 96,852.90, 133,669.53 and 54,411.42

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Solution

The fourth proportional to 96,852.90, 133,669.53 and 54,411.42 is: 75,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,852.90 : 133,669.53 = 54,411.42 : x
  2. Step 2: Convert to fraction form
    96,852.90/133,669.53 = 54,411.42/x
  3. Step 3: Cross multiply
    96,852.90x = 133,669.53 × 54,411.42
  4. Step 4: Simplify right side
    96,852.90x = 7,273,148,938.03
  5. Step 5: Solve for x
    x = 7,273,148,938.03/96,852.90
  6. Step 6: Final answer
    x = 75,094.80

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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.