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Finding the Fourth Proportional to 53,203.84, 79,817.44 and 15,766.80

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Solution

The fourth proportional to 53,203.84, 79,817.44 and 15,766.80 is: 23,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,203.84 : 79,817.44 = 15,766.80 : x
  2. Step 2: Convert to fraction form
    53,203.84/79,817.44 = 15,766.80/x
  3. Step 3: Cross multiply
    53,203.84x = 79,817.44 × 15,766.80
  4. Step 4: Simplify right side
    53,203.84x = 1,258,465,612.99
  5. Step 5: Solve for x
    x = 1,258,465,612.99/53,203.84
  6. Step 6: Final answer
    x = 23,653.66

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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.