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Finding the Fourth Proportional to 51,612.90, 77,223.60 and 30,564.24

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Solution

The fourth proportional to 51,612.90, 77,223.60 and 30,564.24 is: 45,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,612.90 : 77,223.60 = 30,564.24 : x
  2. Step 2: Convert to fraction form
    51,612.90/77,223.60 = 30,564.24/x
  3. Step 3: Cross multiply
    51,612.90x = 77,223.60 × 30,564.24
  4. Step 4: Simplify right side
    51,612.90x = 2,360,280,644.06
  5. Step 5: Solve for x
    x = 2,360,280,644.06/51,612.90
  6. Step 6: Final answer
    x = 45,730.44

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