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Finding the Fourth Proportional to 65,524.77, 98,301.74 and 18,774

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Solution

The fourth proportional to 65,524.77, 98,301.74 and 18,774 is: 28,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524.77 : 98,301.74 = 18,774 : x
  2. Step 2: Convert to fraction form
    65,524.77/98,301.74 = 18,774/x
  3. Step 3: Cross multiply
    65,524.77x = 98,301.74 × 18,774
  4. Step 4: Simplify right side
    65,524.77x = 1,845,516,772.89
  5. Step 5: Solve for x
    x = 1,845,516,772.89/65,524.77
  6. Step 6: Final answer
    x = 28,165.18

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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.