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Finding the Fourth Proportional to 36,148.35, 49,886.63 and 22,714.63

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Solution

The fourth proportional to 36,148.35, 49,886.63 and 22,714.63 is: 31,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148.35 : 49,886.63 = 22,714.63 : x
  2. Step 2: Convert to fraction form
    36,148.35/49,886.63 = 22,714.63/x
  3. Step 3: Cross multiply
    36,148.35x = 49,886.63 × 22,714.63
  4. Step 4: Simplify right side
    36,148.35x = 1,133,156,342.40
  5. Step 5: Solve for x
    x = 1,133,156,342.40/36,148.35
  6. Step 6: Final answer
    x = 31,347.39

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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.