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Finding the Fourth Proportional to 103,028.48, 154,485.94 and 31,931.40

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Solution

The fourth proportional to 103,028.48, 154,485.94 and 31,931.40 is: 47,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,028.48 : 154,485.94 = 31,931.40 : x
  2. Step 2: Convert to fraction form
    103,028.48/154,485.94 = 31,931.40/x
  3. Step 3: Cross multiply
    103,028.48x = 154,485.94 × 31,931.40
  4. Step 4: Simplify right side
    103,028.48x = 4,932,952,344.52
  5. Step 5: Solve for x
    x = 4,932,952,344.52/103,028.48
  6. Step 6: Final answer
    x = 47,879.50

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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.