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Finding the Fourth Proportional to 83,186.64, 114,828.84 and 56,467.44

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Solution

The fourth proportional to 83,186.64, 114,828.84 and 56,467.44 is: 77,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,186.64 : 114,828.84 = 56,467.44 : x
  2. Step 2: Convert to fraction form
    83,186.64/114,828.84 = 56,467.44/x
  3. Step 3: Cross multiply
    83,186.64x = 114,828.84 × 56,467.44
  4. Step 4: Simplify right side
    83,186.64x = 6,484,090,632.97
  5. Step 5: Solve for x
    x = 6,484,090,632.97/83,186.64
  6. Step 6: Final answer
    x = 77,946.30

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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.