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Finding the Fourth Proportional to 101,746.53, 140,407.37 and 56,424.30

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Solution

The fourth proportional to 101,746.53, 140,407.37 and 56,424.30 is: 77,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746.53 : 140,407.37 = 56,424.30 : x
  2. Step 2: Convert to fraction form
    101,746.53/140,407.37 = 56,424.30/x
  3. Step 3: Cross multiply
    101,746.53x = 140,407.37 × 56,424.30
  4. Step 4: Simplify right side
    101,746.53x = 7,922,387,287.42
  5. Step 5: Solve for x
    x = 7,922,387,287.42/101,746.53
  6. Step 6: Final answer
    x = 77,863.96

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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.