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Finding the Fourth Proportional to 56,606.47, 78,117.74 and 31,115.20

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Solution

The fourth proportional to 56,606.47, 78,117.74 and 31,115.20 is: 42,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,606.47 : 78,117.74 = 31,115.20 : x
  2. Step 2: Convert to fraction form
    56,606.47/78,117.74 = 31,115.20/x
  3. Step 3: Cross multiply
    56,606.47x = 78,117.74 × 31,115.20
  4. Step 4: Simplify right side
    56,606.47x = 2,430,649,103.65
  5. Step 5: Solve for x
    x = 2,430,649,103.65/56,606.47
  6. Step 6: Final answer
    x = 42,939.42

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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.