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Finding the Fourth Proportional to 65,897.35, 98,799.04 and 30,817.87

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Solution

The fourth proportional to 65,897.35, 98,799.04 and 30,817.87 is: 46,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.35 : 98,799.04 = 30,817.87 : x
  2. Step 2: Convert to fraction form
    65,897.35/98,799.04 = 30,817.87/x
  3. Step 3: Cross multiply
    65,897.35x = 98,799.04 × 30,817.87
  4. Step 4: Simplify right side
    65,897.35x = 3,044,775,762.37
  5. Step 5: Solve for x
    x = 3,044,775,762.37/65,897.35
  6. Step 6: Final answer
    x = 46,204.83

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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.