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Finding the Fourth Proportional to 102,603.94, 153,921.31 and 36,032.38

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Solution

The fourth proportional to 102,603.94, 153,921.31 and 36,032.38 is: 54,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,603.94 : 153,921.31 = 36,032.38 : x
  2. Step 2: Convert to fraction form
    102,603.94/153,921.31 = 36,032.38/x
  3. Step 3: Cross multiply
    102,603.94x = 153,921.31 × 36,032.38
  4. Step 4: Simplify right side
    102,603.94x = 5,546,150,657.13
  5. Step 5: Solve for x
    x = 5,546,150,657.13/102,603.94
  6. Step 6: Final answer
    x = 54,053.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.