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Finding the Fourth Proportional to 52,495.86, 78,738.93 and 19,214.58

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Solution

The fourth proportional to 52,495.86, 78,738.93 and 19,214.58 is: 28,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,495.86 : 78,738.93 = 19,214.58 : x
  2. Step 2: Convert to fraction form
    52,495.86/78,738.93 = 19,214.58/x
  3. Step 3: Cross multiply
    52,495.86x = 78,738.93 × 19,214.58
  4. Step 4: Simplify right side
    52,495.86x = 1,512,935,469.60
  5. Step 5: Solve for x
    x = 1,512,935,469.60/52,495.86
  6. Step 6: Final answer
    x = 28,820.09

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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.