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Finding the Fourth Proportional to 52,773.84, 79,164 and 23,205.60

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Solution

The fourth proportional to 52,773.84, 79,164 and 23,205.60 is: 34,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,773.84 : 79,164 = 23,205.60 : x
  2. Step 2: Convert to fraction form
    52,773.84/79,164 = 23,205.60/x
  3. Step 3: Cross multiply
    52,773.84x = 79,164 × 23,205.60
  4. Step 4: Simplify right side
    52,773.84x = 1,837,048,118.40
  5. Step 5: Solve for x
    x = 1,837,048,118.40/52,773.84
  6. Step 6: Final answer
    x = 34,809.82

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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.