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Finding the Fourth Proportional to 31,074.64, 46,611.69 and 18,598.12

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Solution

The fourth proportional to 31,074.64, 46,611.69 and 18,598.12 is: 27,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.64 : 46,611.69 = 18,598.12 : x
  2. Step 2: Convert to fraction form
    31,074.64/46,611.69 = 18,598.12/x
  3. Step 3: Cross multiply
    31,074.64x = 46,611.69 × 18,598.12
  4. Step 4: Simplify right side
    31,074.64x = 866,889,804.02
  5. Step 5: Solve for x
    x = 866,889,804.02/31,074.64
  6. Step 6: Final answer
    x = 27,897.02

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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.