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Finding the Fourth Proportional to 31,113, 46,675.26 and 14,697

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Solution

The fourth proportional to 31,113, 46,675.26 and 14,697 is: 22,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113 : 46,675.26 = 14,697 : x
  2. Step 2: Convert to fraction form
    31,113/46,675.26 = 14,697/x
  3. Step 3: Cross multiply
    31,113x = 46,675.26 × 14,697
  4. Step 4: Simplify right side
    31,113x = 685,986,296.22
  5. Step 5: Solve for x
    x = 685,986,296.22/31,113
  6. Step 6: Final answer
    x = 22,048.22

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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.