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Finding the Fourth Proportional to 56,871.38, 78,514.59 and 37,783.88

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Solution

The fourth proportional to 56,871.38, 78,514.59 and 37,783.88 is: 52,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,871.38 : 78,514.59 = 37,783.88 : x
  2. Step 2: Convert to fraction form
    56,871.38/78,514.59 = 37,783.88/x
  3. Step 3: Cross multiply
    56,871.38x = 78,514.59 × 37,783.88
  4. Step 4: Simplify right side
    56,871.38x = 2,966,585,846.81
  5. Step 5: Solve for x
    x = 2,966,585,846.81/56,871.38
  6. Step 6: Final answer
    x = 52,163.07

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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.