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Finding the Fourth Proportional to 38,193.77, 52,718.64 and 24,765.86

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Solution

The fourth proportional to 38,193.77, 52,718.64 and 24,765.86 is: 34,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.77 : 52,718.64 = 24,765.86 : x
  2. Step 2: Convert to fraction form
    38,193.77/52,718.64 = 24,765.86/x
  3. Step 3: Cross multiply
    38,193.77x = 52,718.64 × 24,765.86
  4. Step 4: Simplify right side
    38,193.77x = 1,305,622,457.63
  5. Step 5: Solve for x
    x = 1,305,622,457.63/38,193.77
  6. Step 6: Final answer
    x = 34,184.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.