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Finding the Fourth Proportional to 30,077.12, 41,506.08 and 16,648.40

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Solution

The fourth proportional to 30,077.12, 41,506.08 and 16,648.40 is: 22,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.12 : 41,506.08 = 16,648.40 : x
  2. Step 2: Convert to fraction form
    30,077.12/41,506.08 = 16,648.40/x
  3. Step 3: Cross multiply
    30,077.12x = 41,506.08 × 16,648.40
  4. Step 4: Simplify right side
    30,077.12x = 691,009,822.27
  5. Step 5: Solve for x
    x = 691,009,822.27/30,077.12
  6. Step 6: Final answer
    x = 22,974.60

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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.