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Finding the Fourth Proportional to 31,103.46, 46,655.01 and 12,378.49

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Solution

The fourth proportional to 31,103.46, 46,655.01 and 12,378.49 is: 18,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.46 : 46,655.01 = 12,378.49 : x
  2. Step 2: Convert to fraction form
    31,103.46/46,655.01 = 12,378.49/x
  3. Step 3: Cross multiply
    31,103.46x = 46,655.01 × 12,378.49
  4. Step 4: Simplify right side
    31,103.46x = 577,518,458.10
  5. Step 5: Solve for x
    x = 577,518,458.10/31,103.46
  6. Step 6: Final answer
    x = 18,567.66

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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.