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Finding the Fourth Proportional to 65,256.06, 97,873.02 and 18,498

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Solution

The fourth proportional to 65,256.06, 97,873.02 and 18,498 is: 27,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,256.06 : 97,873.02 = 18,498 : x
  2. Step 2: Convert to fraction form
    65,256.06/97,873.02 = 18,498/x
  3. Step 3: Cross multiply
    65,256.06x = 97,873.02 × 18,498
  4. Step 4: Simplify right side
    65,256.06x = 1,810,455,123.96
  5. Step 5: Solve for x
    x = 1,810,455,123.96/65,256.06
  6. Step 6: Final answer
    x = 27,743.86

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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.