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Finding the Fourth Proportional to 37,117.50, 51,230.34 and 29,035.14

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Solution

The fourth proportional to 37,117.50, 51,230.34 and 29,035.14 is: 40,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,117.50 : 51,230.34 = 29,035.14 : x
  2. Step 2: Convert to fraction form
    37,117.50/51,230.34 = 29,035.14/x
  3. Step 3: Cross multiply
    37,117.50x = 51,230.34 × 29,035.14
  4. Step 4: Simplify right side
    37,117.50x = 1,487,480,094.15
  5. Step 5: Solve for x
    x = 1,487,480,094.15/37,117.50
  6. Step 6: Final answer
    x = 40,074.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.