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Finding the Fourth Proportional to 56,162.56, 84,224.40 and 31,240.48

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Solution

The fourth proportional to 56,162.56, 84,224.40 and 31,240.48 is: 46,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,162.56 : 84,224.40 = 31,240.48 : x
  2. Step 2: Convert to fraction form
    56,162.56/84,224.40 = 31,240.48/x
  3. Step 3: Cross multiply
    56,162.56x = 84,224.40 × 31,240.48
  4. Step 4: Simplify right side
    56,162.56x = 2,631,210,683.71
  5. Step 5: Solve for x
    x = 2,631,210,683.71/56,162.56
  6. Step 6: Final answer
    x = 46,849.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.