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Finding the Fourth Proportional to 38,702.16, 58,079.12 and 14,078.16

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Solution

The fourth proportional to 38,702.16, 58,079.12 and 14,078.16 is: 21,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.16 : 58,079.12 = 14,078.16 : x
  2. Step 2: Convert to fraction form
    38,702.16/58,079.12 = 14,078.16/x
  3. Step 3: Cross multiply
    38,702.16x = 58,079.12 × 14,078.16
  4. Step 4: Simplify right side
    38,702.16x = 817,647,144.02
  5. Step 5: Solve for x
    x = 817,647,144.02/38,702.16
  6. Step 6: Final answer
    x = 21,126.65

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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.