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Finding the Fourth Proportional to 65,396.63, 98,095.86 and 18,649.50

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Solution

The fourth proportional to 65,396.63, 98,095.86 and 18,649.50 is: 27,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,396.63 : 98,095.86 = 18,649.50 : x
  2. Step 2: Convert to fraction form
    65,396.63/98,095.86 = 18,649.50/x
  3. Step 3: Cross multiply
    65,396.63x = 98,095.86 × 18,649.50
  4. Step 4: Simplify right side
    65,396.63x = 1,829,438,741.07
  5. Step 5: Solve for x
    x = 1,829,438,741.07/65,396.63
  6. Step 6: Final answer
    x = 27,974.51

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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.