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Finding the Fourth Proportional to 57,056.96, 78,737.10 and 31,564.38

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Solution

The fourth proportional to 57,056.96, 78,737.10 and 31,564.38 is: 43,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.96 : 78,737.10 = 31,564.38 : x
  2. Step 2: Convert to fraction form
    57,056.96/78,737.10 = 31,564.38/x
  3. Step 3: Cross multiply
    57,056.96x = 78,737.10 × 31,564.38
  4. Step 4: Simplify right side
    57,056.96x = 2,485,287,744.50
  5. Step 5: Solve for x
    x = 2,485,287,744.50/57,056.96
  6. Step 6: Final answer
    x = 43,558.01

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Why These Related Problems?

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