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Finding the Fourth Proportional to 65,897.40, 98,826.90 and 23,772.60

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Solution

The fourth proportional to 65,897.40, 98,826.90 and 23,772.60 is: 35,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.40 : 98,826.90 = 23,772.60 : x
  2. Step 2: Convert to fraction form
    65,897.40/98,826.90 = 23,772.60/x
  3. Step 3: Cross multiply
    65,897.40x = 98,826.90 × 23,772.60
  4. Step 4: Simplify right side
    65,897.40x = 2,349,372,362.94
  5. Step 5: Solve for x
    x = 2,349,372,362.94/65,897.40
  6. Step 6: Final answer
    x = 35,651.97

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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.