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Finding the Fourth Proportional to 51,662.67, 77,420.00 and 29,430.14

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Solution

The fourth proportional to 51,662.67, 77,420.00 and 29,430.14 is: 44,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,662.67 : 77,420.00 = 29,430.14 : x
  2. Step 2: Convert to fraction form
    51,662.67/77,420.00 = 29,430.14/x
  3. Step 3: Cross multiply
    51,662.67x = 77,420.00 × 29,430.14
  4. Step 4: Simplify right side
    51,662.67x = 2,278,480,904.55
  5. Step 5: Solve for x
    x = 2,278,480,904.55/51,662.67
  6. Step 6: Final answer
    x = 44,103.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.