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Finding the Fourth Proportional to 38,706.44, 53,415.51 and 21,714.47

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Solution

The fourth proportional to 38,706.44, 53,415.51 and 21,714.47 is: 29,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.44 : 53,415.51 = 21,714.47 : x
  2. Step 2: Convert to fraction form
    38,706.44/53,415.51 = 21,714.47/x
  3. Step 3: Cross multiply
    38,706.44x = 53,415.51 × 21,714.47
  4. Step 4: Simplify right side
    38,706.44x = 1,159,889,222.35
  5. Step 5: Solve for x
    x = 1,159,889,222.35/38,706.44
  6. Step 6: Final answer
    x = 29,966.31

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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.