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Finding the Fourth Proportional to 56,225.78, 84,335.79 and 16,783.22

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Solution

The fourth proportional to 56,225.78, 84,335.79 and 16,783.22 is: 25,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,225.78 : 84,335.79 = 16,783.22 : x
  2. Step 2: Convert to fraction form
    56,225.78/84,335.79 = 16,783.22/x
  3. Step 3: Cross multiply
    56,225.78x = 84,335.79 × 16,783.22
  4. Step 4: Simplify right side
    56,225.78x = 1,415,426,117.44
  5. Step 5: Solve for x
    x = 1,415,426,117.44/56,225.78
  6. Step 6: Final answer
    x = 25,173.97

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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.