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Finding the Fourth Proportional to 31,106.98, 46,643.14 and 18,461.87

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Solution

The fourth proportional to 31,106.98, 46,643.14 and 18,461.87 is: 27,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.98 : 46,643.14 = 18,461.87 : x
  2. Step 2: Convert to fraction form
    31,106.98/46,643.14 = 18,461.87/x
  3. Step 3: Cross multiply
    31,106.98x = 46,643.14 × 18,461.87
  4. Step 4: Simplify right side
    31,106.98x = 861,119,587.07
  5. Step 5: Solve for x
    x = 861,119,587.07/31,106.98
  6. Step 6: Final answer
    x = 27,682.52

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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.