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Finding the Fourth Proportional to 84,902.04, 117,165.51 and 53,089.38

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Solution

The fourth proportional to 84,902.04, 117,165.51 and 53,089.38 is: 73,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,902.04 : 117,165.51 = 53,089.38 : x
  2. Step 2: Convert to fraction form
    84,902.04/117,165.51 = 53,089.38/x
  3. Step 3: Cross multiply
    84,902.04x = 117,165.51 × 53,089.38
  4. Step 4: Simplify right side
    84,902.04x = 6,220,244,283.28
  5. Step 5: Solve for x
    x = 6,220,244,283.28/84,902.04
  6. Step 6: Final answer
    x = 73,263.78

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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.