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Finding the Fourth Proportional to 31,302.90, 46,958.94 and 9,113.40

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Solution

The fourth proportional to 31,302.90, 46,958.94 and 9,113.40 is: 13,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.90 : 46,958.94 = 9,113.40 : x
  2. Step 2: Convert to fraction form
    31,302.90/46,958.94 = 9,113.40/x
  3. Step 3: Cross multiply
    31,302.90x = 46,958.94 × 9,113.40
  4. Step 4: Simplify right side
    31,302.90x = 427,955,603.80
  5. Step 5: Solve for x
    x = 427,955,603.80/31,302.90
  6. Step 6: Final answer
    x = 13,671.44

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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.