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Finding the Fourth Proportional to 30,033, 41,445.56 and 16,785

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Solution

The fourth proportional to 30,033, 41,445.56 and 16,785 is: 23,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033 : 41,445.56 = 16,785 : x
  2. Step 2: Convert to fraction form
    30,033/41,445.56 = 16,785/x
  3. Step 3: Cross multiply
    30,033x = 41,445.56 × 16,785
  4. Step 4: Simplify right side
    30,033x = 695,663,724.60
  5. Step 5: Solve for x
    x = 695,663,724.60/30,033
  6. Step 6: Final answer
    x = 23,163.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.