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Finding the Fourth Proportional to 47,802.36, 71,714.88 and 14,524.32

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Solution

The fourth proportional to 47,802.36, 71,714.88 and 14,524.32 is: 21,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802.36 : 71,714.88 = 14,524.32 : x
  2. Step 2: Convert to fraction form
    47,802.36/71,714.88 = 14,524.32/x
  3. Step 3: Cross multiply
    47,802.36x = 71,714.88 × 14,524.32
  4. Step 4: Simplify right side
    47,802.36x = 1,041,609,865.88
  5. Step 5: Solve for x
    x = 1,041,609,865.88/47,802.36
  6. Step 6: Final answer
    x = 21,789.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.