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Finding the Fourth Proportional to 31,216.60, 46,841.10 and 13,688.20

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Solution

The fourth proportional to 31,216.60, 46,841.10 and 13,688.20 is: 20,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.60 : 46,841.10 = 13,688.20 : x
  2. Step 2: Convert to fraction form
    31,216.60/46,841.10 = 13,688.20/x
  3. Step 3: Cross multiply
    31,216.60x = 46,841.10 × 13,688.20
  4. Step 4: Simplify right side
    31,216.60x = 641,170,345.02
  5. Step 5: Solve for x
    x = 641,170,345.02/31,216.60
  6. Step 6: Final answer
    x = 20,539.40

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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.