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Finding the Fourth Proportional to 75,291.78, 103,904.04 and 41,302.01

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Solution

The fourth proportional to 75,291.78, 103,904.04 and 41,302.01 is: 56,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,291.78 : 103,904.04 = 41,302.01 : x
  2. Step 2: Convert to fraction form
    75,291.78/103,904.04 = 41,302.01/x
  3. Step 3: Cross multiply
    75,291.78x = 103,904.04 × 41,302.01
  4. Step 4: Simplify right side
    75,291.78x = 4,291,446,113.76
  5. Step 5: Solve for x
    x = 4,291,446,113.76/75,291.78
  6. Step 6: Final answer
    x = 56,997.54

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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.