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Finding the Fourth Proportional to 57,000.09, 78,655.21 and 31,506.56

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Solution

The fourth proportional to 57,000.09, 78,655.21 and 31,506.56 is: 43,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000.09 : 78,655.21 = 31,506.56 : x
  2. Step 2: Convert to fraction form
    57,000.09/78,655.21 = 31,506.56/x
  3. Step 3: Cross multiply
    57,000.09x = 78,655.21 × 31,506.56
  4. Step 4: Simplify right side
    57,000.09x = 2,478,155,093.18
  5. Step 5: Solve for x
    x = 2,478,155,093.18/57,000.09
  6. Step 6: Final answer
    x = 43,476.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.