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Finding the Fourth Proportional to 52,051.20, 78,019.20 and 28,694.40

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Solution

The fourth proportional to 52,051.20, 78,019.20 and 28,694.40 is: 43,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.20 : 78,019.20 = 28,694.40 : x
  2. Step 2: Convert to fraction form
    52,051.20/78,019.20 = 28,694.40/x
  3. Step 3: Cross multiply
    52,051.20x = 78,019.20 × 28,694.40
  4. Step 4: Simplify right side
    52,051.20x = 2,238,714,132.48
  5. Step 5: Solve for x
    x = 2,238,714,132.48/52,051.20
  6. Step 6: Final answer
    x = 43,009.85

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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.