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Finding the Fourth Proportional to 57,157.40, 78,875.38 and 31,662.72

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Solution

The fourth proportional to 57,157.40, 78,875.38 and 31,662.72 is: 43,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.40 : 78,875.38 = 31,662.72 : x
  2. Step 2: Convert to fraction form
    57,157.40/78,875.38 = 31,662.72/x
  3. Step 3: Cross multiply
    57,157.40x = 78,875.38 × 31,662.72
  4. Step 4: Simplify right side
    57,157.40x = 2,497,409,071.83
  5. Step 5: Solve for x
    x = 2,497,409,071.83/57,157.40
  6. Step 6: Final answer
    x = 43,693.54

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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.