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Finding the Fourth Proportional to 31,117.17, 46,649.01 and 11,391.64

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Solution

The fourth proportional to 31,117.17, 46,649.01 and 11,391.64 is: 17,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.17 : 46,649.01 = 11,391.64 : x
  2. Step 2: Convert to fraction form
    31,117.17/46,649.01 = 11,391.64/x
  3. Step 3: Cross multiply
    31,117.17x = 46,649.01 × 11,391.64
  4. Step 4: Simplify right side
    31,117.17x = 531,408,728.28
  5. Step 5: Solve for x
    x = 531,408,728.28/31,117.17
  6. Step 6: Final answer
    x = 17,077.67

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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.