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Finding the Fourth Proportional to 38,200.47, 52,714.16 and 21,203.91

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Solution

The fourth proportional to 38,200.47, 52,714.16 and 21,203.91 is: 29,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.47 : 52,714.16 = 21,203.91 : x
  2. Step 2: Convert to fraction form
    38,200.47/52,714.16 = 21,203.91/x
  3. Step 3: Cross multiply
    38,200.47x = 52,714.16 × 21,203.91
  4. Step 4: Simplify right side
    38,200.47x = 1,117,746,198.35
  5. Step 5: Solve for x
    x = 1,117,746,198.35/38,200.47
  6. Step 6: Final answer
    x = 29,260.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.