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Finding the Fourth Proportional to 52,130.90, 78,320.98 and 33,447.63

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Solution

The fourth proportional to 52,130.90, 78,320.98 and 33,447.63 is: 50,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130.90 : 78,320.98 = 33,447.63 : x
  2. Step 2: Convert to fraction form
    52,130.90/78,320.98 = 33,447.63/x
  3. Step 3: Cross multiply
    52,130.90x = 78,320.98 × 33,447.63
  4. Step 4: Simplify right side
    52,130.90x = 2,619,651,160.28
  5. Step 5: Solve for x
    x = 2,619,651,160.28/52,130.90
  6. Step 6: Final answer
    x = 50,251.41

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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.