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Finding the Fourth Proportional to 30,702.66, 46,040.22 and 14,068.14

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Solution

The fourth proportional to 30,702.66, 46,040.22 and 14,068.14 is: 21,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.66 : 46,040.22 = 14,068.14 : x
  2. Step 2: Convert to fraction form
    30,702.66/46,040.22 = 14,068.14/x
  3. Step 3: Cross multiply
    30,702.66x = 46,040.22 × 14,068.14
  4. Step 4: Simplify right side
    30,702.66x = 647,700,260.59
  5. Step 5: Solve for x
    x = 647,700,260.59/30,702.66
  6. Step 6: Final answer
    x = 21,095.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.