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Finding the Fourth Proportional to 34,300.11, 51,707.23 and 32,014

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Solution

The fourth proportional to 34,300.11, 51,707.23 and 32,014 is: 48,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,300.11 : 51,707.23 = 32,014 : x
  2. Step 2: Convert to fraction form
    34,300.11/51,707.23 = 32,014/x
  3. Step 3: Cross multiply
    34,300.11x = 51,707.23 × 32,014
  4. Step 4: Simplify right side
    34,300.11x = 1,655,355,261.22
  5. Step 5: Solve for x
    x = 1,655,355,261.22/34,300.11
  6. Step 6: Final answer
    x = 48,260.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.