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Finding the Fourth Proportional to 31,070.72, 46,597.92 and 21,208.16

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Solution

The fourth proportional to 31,070.72, 46,597.92 and 21,208.16 is: 31,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.72 : 46,597.92 = 21,208.16 : x
  2. Step 2: Convert to fraction form
    31,070.72/46,597.92 = 21,208.16/x
  3. Step 3: Cross multiply
    31,070.72x = 46,597.92 × 21,208.16
  4. Step 4: Simplify right side
    31,070.72x = 988,256,143.03
  5. Step 5: Solve for x
    x = 988,256,143.03/31,070.72
  6. Step 6: Final answer
    x = 31,806.67

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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.