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Finding the Fourth Proportional to 30,331.90, 45,476.30 and 11,596.16

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Solution

The fourth proportional to 30,331.90, 45,476.30 and 11,596.16 is: 17,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.90 : 45,476.30 = 11,596.16 : x
  2. Step 2: Convert to fraction form
    30,331.90/45,476.30 = 11,596.16/x
  3. Step 3: Cross multiply
    30,331.90x = 45,476.30 × 11,596.16
  4. Step 4: Simplify right side
    30,331.90x = 527,350,451.01
  5. Step 5: Solve for x
    x = 527,350,451.01/30,331.90
  6. Step 6: Final answer
    x = 17,386.00

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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.