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Finding the Fourth Proportional to 56,762.33, 78,338.16 and 31,271.30

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Solution

The fourth proportional to 56,762.33, 78,338.16 and 31,271.30 is: 43,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,762.33 : 78,338.16 = 31,271.30 : x
  2. Step 2: Convert to fraction form
    56,762.33/78,338.16 = 31,271.30/x
  3. Step 3: Cross multiply
    56,762.33x = 78,338.16 × 31,271.30
  4. Step 4: Simplify right side
    56,762.33x = 2,449,736,298.65
  5. Step 5: Solve for x
    x = 2,449,736,298.65/56,762.33
  6. Step 6: Final answer
    x = 43,157.79

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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.