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Finding the Fourth Proportional to 30,293.38, 45,433 and 11,566.54

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Solution

The fourth proportional to 30,293.38, 45,433 and 11,566.54 is: 17,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293.38 : 45,433 = 11,566.54 : x
  2. Step 2: Convert to fraction form
    30,293.38/45,433 = 11,566.54/x
  3. Step 3: Cross multiply
    30,293.38x = 45,433 × 11,566.54
  4. Step 4: Simplify right side
    30,293.38x = 525,502,611.82
  5. Step 5: Solve for x
    x = 525,502,611.82/30,293.38
  6. Step 6: Final answer
    x = 17,347.11

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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.