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Finding the Fourth Proportional to 52,495.20, 78,742.80 and 21,352.80

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Solution

The fourth proportional to 52,495.20, 78,742.80 and 21,352.80 is: 32,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,495.20 : 78,742.80 = 21,352.80 : x
  2. Step 2: Convert to fraction form
    52,495.20/78,742.80 = 21,352.80/x
  3. Step 3: Cross multiply
    52,495.20x = 78,742.80 × 21,352.80
  4. Step 4: Simplify right side
    52,495.20x = 1,681,379,259.84
  5. Step 5: Solve for x
    x = 1,681,379,259.84/52,495.20
  6. Step 6: Final answer
    x = 32,029.20

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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.