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Finding the Fourth Proportional to 52,071.26, 78,054.30 and 20,503.48

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Solution

The fourth proportional to 52,071.26, 78,054.30 and 20,503.48 is: 30,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.26 : 78,054.30 = 20,503.48 : x
  2. Step 2: Convert to fraction form
    52,071.26/78,054.30 = 20,503.48/x
  3. Step 3: Cross multiply
    52,071.26x = 78,054.30 × 20,503.48
  4. Step 4: Simplify right side
    52,071.26x = 1,600,384,406.06
  5. Step 5: Solve for x
    x = 1,600,384,406.06/52,071.26
  6. Step 6: Final answer
    x = 30,734.50

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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.