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Finding the Fourth Proportional to 52,978.74, 73,111.98 and 29,106.96

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Solution

The fourth proportional to 52,978.74, 73,111.98 and 29,106.96 is: 40,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,978.74 : 73,111.98 = 29,106.96 : x
  2. Step 2: Convert to fraction form
    52,978.74/73,111.98 = 29,106.96/x
  3. Step 3: Cross multiply
    52,978.74x = 73,111.98 × 29,106.96
  4. Step 4: Simplify right side
    52,978.74x = 2,128,067,477.38
  5. Step 5: Solve for x
    x = 2,128,067,477.38/52,978.74
  6. Step 6: Final answer
    x = 40,168.33

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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.