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Finding the Fourth Proportional to 31,399.68, 46,895.16 and 28,133.76

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Solution

The fourth proportional to 31,399.68, 46,895.16 and 28,133.76 is: 42,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399.68 : 46,895.16 = 28,133.76 : x
  2. Step 2: Convert to fraction form
    31,399.68/46,895.16 = 28,133.76/x
  3. Step 3: Cross multiply
    31,399.68x = 46,895.16 × 28,133.76
  4. Step 4: Simplify right side
    31,399.68x = 1,319,337,176.60
  5. Step 5: Solve for x
    x = 1,319,337,176.60/31,399.68
  6. Step 6: Final answer
    x = 42,017.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.