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Finding the Fourth Proportional to 52,352.50, 78,527.50 and 16,813.90

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Solution

The fourth proportional to 52,352.50, 78,527.50 and 16,813.90 is: 25,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,352.50 : 78,527.50 = 16,813.90 : x
  2. Step 2: Convert to fraction form
    52,352.50/78,527.50 = 16,813.90/x
  3. Step 3: Cross multiply
    52,352.50x = 78,527.50 × 16,813.90
  4. Step 4: Simplify right side
    52,352.50x = 1,320,353,532.25
  5. Step 5: Solve for x
    x = 1,320,353,532.25/52,352.50
  6. Step 6: Final answer
    x = 25,220.45

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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.