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Finding the Fourth Proportional to 65,181.65, 97,774.29 and 23,055.77

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Solution

The fourth proportional to 65,181.65, 97,774.29 and 23,055.77 is: 34,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,181.65 : 97,774.29 = 23,055.77 : x
  2. Step 2: Convert to fraction form
    65,181.65/97,774.29 = 23,055.77/x
  3. Step 3: Cross multiply
    65,181.65x = 97,774.29 × 23,055.77
  4. Step 4: Simplify right side
    65,181.65x = 2,254,261,542.15
  5. Step 5: Solve for x
    x = 2,254,261,542.15/65,181.65
  6. Step 6: Final answer
    x = 34,584.30

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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.