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Finding the Fourth Proportional to 75,176.67, 103,746.93 and 41,188.11

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Solution

The fourth proportional to 75,176.67, 103,746.93 and 41,188.11 is: 56,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176.67 : 103,746.93 = 41,188.11 : x
  2. Step 2: Convert to fraction form
    75,176.67/103,746.93 = 41,188.11/x
  3. Step 3: Cross multiply
    75,176.67x = 103,746.93 × 41,188.11
  4. Step 4: Simplify right side
    75,176.67x = 4,273,140,005.07
  5. Step 5: Solve for x
    x = 4,273,140,005.07/75,176.67
  6. Step 6: Final answer
    x = 56,841.30

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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.