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Finding the Fourth Proportional to 73,285.40, 109,847.10 and 28,897.40

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Solution

The fourth proportional to 73,285.40, 109,847.10 and 28,897.40 is: 43,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,285.40 : 109,847.10 = 28,897.40 : x
  2. Step 2: Convert to fraction form
    73,285.40/109,847.10 = 28,897.40/x
  3. Step 3: Cross multiply
    73,285.40x = 109,847.10 × 28,897.40
  4. Step 4: Simplify right side
    73,285.40x = 3,174,295,587.54
  5. Step 5: Solve for x
    x = 3,174,295,587.54/73,285.40
  6. Step 6: Final answer
    x = 43,314.16

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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.