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Finding the Fourth Proportional to 32,714.16, 45,144.45 and 19,285.17

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Solution

The fourth proportional to 32,714.16, 45,144.45 and 19,285.17 is: 26,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.16 : 45,144.45 = 19,285.17 : x
  2. Step 2: Convert to fraction form
    32,714.16/45,144.45 = 19,285.17/x
  3. Step 3: Cross multiply
    32,714.16x = 45,144.45 × 19,285.17
  4. Step 4: Simplify right side
    32,714.16x = 870,618,392.81
  5. Step 5: Solve for x
    x = 870,618,392.81/32,714.16
  6. Step 6: Final answer
    x = 26,612.89

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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.