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Finding the Fourth Proportional to 107,714.40, 161,569.24 and 28,828.64

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Solution

The fourth proportional to 107,714.40, 161,569.24 and 28,828.64 is: 43,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714.40 : 161,569.24 = 28,828.64 : x
  2. Step 2: Convert to fraction form
    107,714.40/161,569.24 = 28,828.64/x
  3. Step 3: Cross multiply
    107,714.40x = 161,569.24 × 28,828.64
  4. Step 4: Simplify right side
    107,714.40x = 4,657,821,455.03
  5. Step 5: Solve for x
    x = 4,657,821,455.03/107,714.40
  6. Step 6: Final answer
    x = 43,242.33

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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.