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Finding the Fourth Proportional to 65,599.42, 98,391.84 and 23,477.80

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Solution

The fourth proportional to 65,599.42, 98,391.84 and 23,477.80 is: 35,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,599.42 : 98,391.84 = 23,477.80 : x
  2. Step 2: Convert to fraction form
    65,599.42/98,391.84 = 23,477.80/x
  3. Step 3: Cross multiply
    65,599.42x = 98,391.84 × 23,477.80
  4. Step 4: Simplify right side
    65,599.42x = 2,310,023,941.15
  5. Step 5: Solve for x
    x = 2,310,023,941.15/65,599.42
  6. Step 6: Final answer
    x = 35,214.09

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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.