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Finding the Fourth Proportional to 65,197.80, 89,843.94 and 46,281.96

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Solution

The fourth proportional to 65,197.80, 89,843.94 and 46,281.96 is: 63,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.80 : 89,843.94 = 46,281.96 : x
  2. Step 2: Convert to fraction form
    65,197.80/89,843.94 = 46,281.96/x
  3. Step 3: Cross multiply
    65,197.80x = 89,843.94 × 46,281.96
  4. Step 4: Simplify right side
    65,197.80x = 4,158,153,637.32
  5. Step 5: Solve for x
    x = 4,158,153,637.32/65,197.80
  6. Step 6: Final answer
    x = 63,777.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.