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Finding the Fourth Proportional to 31,070.41, 46,597.74 and 8,883.88

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Solution

The fourth proportional to 31,070.41, 46,597.74 and 8,883.88 is: 13,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.41 : 46,597.74 = 8,883.88 : x
  2. Step 2: Convert to fraction form
    31,070.41/46,597.74 = 8,883.88/x
  3. Step 3: Cross multiply
    31,070.41x = 46,597.74 × 8,883.88
  4. Step 4: Simplify right side
    31,070.41x = 413,968,730.43
  5. Step 5: Solve for x
    x = 413,968,730.43/31,070.41
  6. Step 6: Final answer
    x = 13,323.57

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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.