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Finding the Fourth Proportional to 31,191.69, 46,782.51 and 8,702.95

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Solution

The fourth proportional to 31,191.69, 46,782.51 and 8,702.95 is: 13,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.69 : 46,782.51 = 8,702.95 : x
  2. Step 2: Convert to fraction form
    31,191.69/46,782.51 = 8,702.95/x
  3. Step 3: Cross multiply
    31,191.69x = 46,782.51 × 8,702.95
  4. Step 4: Simplify right side
    31,191.69x = 407,145,728.45
  5. Step 5: Solve for x
    x = 407,145,728.45/31,191.69
  6. Step 6: Final answer
    x = 13,053.02

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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.