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Finding the Fourth Proportional to 30,202.92, 45,300.86 and 8,018.01

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Solution

The fourth proportional to 30,202.92, 45,300.86 and 8,018.01 is: 12,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.92 : 45,300.86 = 8,018.01 : x
  2. Step 2: Convert to fraction form
    30,202.92/45,300.86 = 8,018.01/x
  3. Step 3: Cross multiply
    30,202.92x = 45,300.86 × 8,018.01
  4. Step 4: Simplify right side
    30,202.92x = 363,222,708.40
  5. Step 5: Solve for x
    x = 363,222,708.40/30,202.92
  6. Step 6: Final answer
    x = 12,026.08

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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.