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Finding the Fourth Proportional to 84,904.90, 117,132.42 and 53,018.44

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Solution

The fourth proportional to 84,904.90, 117,132.42 and 53,018.44 is: 73,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,904.90 : 117,132.42 = 53,018.44 : x
  2. Step 2: Convert to fraction form
    84,904.90/117,132.42 = 53,018.44/x
  3. Step 3: Cross multiply
    84,904.90x = 117,132.42 × 53,018.44
  4. Step 4: Simplify right side
    84,904.90x = 6,210,178,181.82
  5. Step 5: Solve for x
    x = 6,210,178,181.82/84,904.90
  6. Step 6: Final answer
    x = 73,142.75

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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.