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Finding the Fourth Proportional to 52,014.13, 78,149.58 and 33,302.32

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Solution

The fourth proportional to 52,014.13, 78,149.58 and 33,302.32 is: 50,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.13 : 78,149.58 = 33,302.32 : x
  2. Step 2: Convert to fraction form
    52,014.13/78,149.58 = 33,302.32/x
  3. Step 3: Cross multiply
    52,014.13x = 78,149.58 × 33,302.32
  4. Step 4: Simplify right side
    52,014.13x = 2,602,562,321.03
  5. Step 5: Solve for x
    x = 2,602,562,321.03/52,014.13
  6. Step 6: Final answer
    x = 50,035.68

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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.