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Finding the Fourth Proportional to 75,299.32, 103,913.85 and 41,307.87

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Solution

The fourth proportional to 75,299.32, 103,913.85 and 41,307.87 is: 57,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,299.32 : 103,913.85 = 41,307.87 : x
  2. Step 2: Convert to fraction form
    75,299.32/103,913.85 = 41,307.87/x
  3. Step 3: Cross multiply
    75,299.32x = 103,913.85 × 41,307.87
  4. Step 4: Simplify right side
    75,299.32x = 4,292,459,807.00
  5. Step 5: Solve for x
    x = 4,292,459,807.00/75,299.32
  6. Step 6: Final answer
    x = 57,005.29

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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.