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Finding the Fourth Proportional to 31,140.95, 46,702.77 and 8,646.46

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Solution

The fourth proportional to 31,140.95, 46,702.77 and 8,646.46 is: 12,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140.95 : 46,702.77 = 8,646.46 : x
  2. Step 2: Convert to fraction form
    31,140.95/46,702.77 = 8,646.46/x
  3. Step 3: Cross multiply
    31,140.95x = 46,702.77 × 8,646.46
  4. Step 4: Simplify right side
    31,140.95x = 403,813,399.18
  5. Step 5: Solve for x
    x = 403,813,399.18/31,140.95
  6. Step 6: Final answer
    x = 12,967.28

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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.