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Finding the Fourth Proportional to 75,114, 103,657.32 and 41,580

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Solution

The fourth proportional to 75,114, 103,657.32 and 41,580 is: 57,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114 : 103,657.32 = 41,580 : x
  2. Step 2: Convert to fraction form
    75,114/103,657.32 = 41,580/x
  3. Step 3: Cross multiply
    75,114x = 103,657.32 × 41,580
  4. Step 4: Simplify right side
    75,114x = 4,310,071,365.60
  5. Step 5: Solve for x
    x = 4,310,071,365.60/75,114
  6. Step 6: Final answer
    x = 57,380.40

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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.