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Finding the Fourth Proportional to 30,220.83, 45,319.32 and 11,490.93

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Solution

The fourth proportional to 30,220.83, 45,319.32 and 11,490.93 is: 17,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220.83 : 45,319.32 = 11,490.93 : x
  2. Step 2: Convert to fraction form
    30,220.83/45,319.32 = 11,490.93/x
  3. Step 3: Cross multiply
    30,220.83x = 45,319.32 × 11,490.93
  4. Step 4: Simplify right side
    30,220.83x = 520,761,133.77
  5. Step 5: Solve for x
    x = 520,761,133.77/30,220.83
  6. Step 6: Final answer
    x = 17,231.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.