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Finding the Fourth Proportional to 73,782.18, 110,607.53 and 27,024.12

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Solution

The fourth proportional to 73,782.18, 110,607.53 and 27,024.12 is: 40,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.18 : 110,607.53 = 27,024.12 : x
  2. Step 2: Convert to fraction form
    73,782.18/110,607.53 = 27,024.12/x
  3. Step 3: Cross multiply
    73,782.18x = 110,607.53 × 27,024.12
  4. Step 4: Simplify right side
    73,782.18x = 2,989,071,028.50
  5. Step 5: Solve for x
    x = 2,989,071,028.50/73,782.18
  6. Step 6: Final answer
    x = 40,512.10

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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.