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Finding the Fourth Proportional to 65,703.60, 98,569.80 and 21,322.80

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Solution

The fourth proportional to 65,703.60, 98,569.80 and 21,322.80 is: 31,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,703.60 : 98,569.80 = 21,322.80 : x
  2. Step 2: Convert to fraction form
    65,703.60/98,569.80 = 21,322.80/x
  3. Step 3: Cross multiply
    65,703.60x = 98,569.80 × 21,322.80
  4. Step 4: Simplify right side
    65,703.60x = 2,101,784,131.44
  5. Step 5: Solve for x
    x = 2,101,784,131.44/65,703.60
  6. Step 6: Final answer
    x = 31,988.87

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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.