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Finding the Fourth Proportional to 31,122.85, 46,485.82 and 28,156.72

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Solution

The fourth proportional to 31,122.85, 46,485.82 and 28,156.72 is: 42,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.85 : 46,485.82 = 28,156.72 : x
  2. Step 2: Convert to fraction form
    31,122.85/46,485.82 = 28,156.72/x
  3. Step 3: Cross multiply
    31,122.85x = 46,485.82 × 28,156.72
  4. Step 4: Simplify right side
    31,122.85x = 1,308,888,217.71
  5. Step 5: Solve for x
    x = 1,308,888,217.71/31,122.85
  6. Step 6: Final answer
    x = 42,055.54

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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.