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Finding the Fourth Proportional to 31,206.60, 46,749.60 and 24,182.64

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Solution

The fourth proportional to 31,206.60, 46,749.60 and 24,182.64 is: 36,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.60 : 46,749.60 = 24,182.64 : x
  2. Step 2: Convert to fraction form
    31,206.60/46,749.60 = 24,182.64/x
  3. Step 3: Cross multiply
    31,206.60x = 46,749.60 × 24,182.64
  4. Step 4: Simplify right side
    31,206.60x = 1,130,528,746.94
  5. Step 5: Solve for x
    x = 1,130,528,746.94/31,206.60
  6. Step 6: Final answer
    x = 36,227.23

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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.