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Finding the Fourth Proportional to 65,506.83, 98,281.01 and 23,385.99

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Solution

The fourth proportional to 65,506.83, 98,281.01 and 23,385.99 is: 35,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506.83 : 98,281.01 = 23,385.99 : x
  2. Step 2: Convert to fraction form
    65,506.83/98,281.01 = 23,385.99/x
  3. Step 3: Cross multiply
    65,506.83x = 98,281.01 × 23,385.99
  4. Step 4: Simplify right side
    65,506.83x = 2,298,398,717.05
  5. Step 5: Solve for x
    x = 2,298,398,717.05/65,506.83
  6. Step 6: Final answer
    x = 35,086.40

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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.