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Finding the Fourth Proportional to 65,180.78, 97,772.99 and 23,054.90

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Solution

The fourth proportional to 65,180.78, 97,772.99 and 23,054.90 is: 34,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180.78 : 97,772.99 = 23,054.90 : x
  2. Step 2: Convert to fraction form
    65,180.78/97,772.99 = 23,054.90/x
  3. Step 3: Cross multiply
    65,180.78x = 97,772.99 × 23,054.90
  4. Step 4: Simplify right side
    65,180.78x = 2,254,146,507.15
  5. Step 5: Solve for x
    x = 2,254,146,507.15/65,180.78
  6. Step 6: Final answer
    x = 34,582.99

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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.