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Finding the Fourth Proportional to 30,702.85, 46,054.28 and 8,516.23

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Solution

The fourth proportional to 30,702.85, 46,054.28 and 8,516.23 is: 12,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.85 : 46,054.28 = 8,516.23 : x
  2. Step 2: Convert to fraction form
    30,702.85/46,054.28 = 8,516.23/x
  3. Step 3: Cross multiply
    30,702.85x = 46,054.28 × 8,516.23
  4. Step 4: Simplify right side
    30,702.85x = 392,208,773.59
  5. Step 5: Solve for x
    x = 392,208,773.59/30,702.85
  6. Step 6: Final answer
    x = 12,774.34

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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.