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Finding the Fourth Proportional to 31,331.98, 46,987.04 and 12,607.16

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Solution

The fourth proportional to 31,331.98, 46,987.04 and 12,607.16 is: 18,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.98 : 46,987.04 = 12,607.16 : x
  2. Step 2: Convert to fraction form
    31,331.98/46,987.04 = 12,607.16/x
  3. Step 3: Cross multiply
    31,331.98x = 46,987.04 × 12,607.16
  4. Step 4: Simplify right side
    31,331.98x = 592,373,185.64
  5. Step 5: Solve for x
    x = 592,373,185.64/31,331.98
  6. Step 6: Final answer
    x = 18,906.35

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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.