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Finding the Fourth Proportional to 38,706.50, 53,415.59 and 21,714.53

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Solution

The fourth proportional to 38,706.50, 53,415.59 and 21,714.53 is: 29,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.50 : 53,415.59 = 21,714.53 : x
  2. Step 2: Convert to fraction form
    38,706.50/53,415.59 = 21,714.53/x
  3. Step 3: Cross multiply
    38,706.50x = 53,415.59 × 21,714.53
  4. Step 4: Simplify right side
    38,706.50x = 1,159,894,055.87
  5. Step 5: Solve for x
    x = 1,159,894,055.87/38,706.50
  6. Step 6: Final answer
    x = 29,966.39

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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.