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Finding the Fourth Proportional to 31,283.76, 46,925.94 and 7,910.22

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Solution

The fourth proportional to 31,283.76, 46,925.94 and 7,910.22 is: 11,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.76 : 46,925.94 = 7,910.22 : x
  2. Step 2: Convert to fraction form
    31,283.76/46,925.94 = 7,910.22/x
  3. Step 3: Cross multiply
    31,283.76x = 46,925.94 × 7,910.22
  4. Step 4: Simplify right side
    31,283.76x = 371,194,509.11
  5. Step 5: Solve for x
    x = 371,194,509.11/31,283.76
  6. Step 6: Final answer
    x = 11,865.41

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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.