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Finding the Fourth Proportional to 30,314.74, 41,832.19 and 16,702.18

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Solution

The fourth proportional to 30,314.74, 41,832.19 and 16,702.18 is: 23,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.74 : 41,832.19 = 16,702.18 : x
  2. Step 2: Convert to fraction form
    30,314.74/41,832.19 = 16,702.18/x
  3. Step 3: Cross multiply
    30,314.74x = 41,832.19 × 16,702.18
  4. Step 4: Simplify right side
    30,314.74x = 698,688,767.17
  5. Step 5: Solve for x
    x = 698,688,767.17/30,314.74
  6. Step 6: Final answer
    x = 23,047.82

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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.