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Finding the Fourth Proportional to 30,965.51, 42,739.22 and 20,356.13

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Solution

The fourth proportional to 30,965.51, 42,739.22 and 20,356.13 is: 28,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.51 : 42,739.22 = 20,356.13 : x
  2. Step 2: Convert to fraction form
    30,965.51/42,739.22 = 20,356.13/x
  3. Step 3: Cross multiply
    30,965.51x = 42,739.22 × 20,356.13
  4. Step 4: Simplify right side
    30,965.51x = 870,005,276.16
  5. Step 5: Solve for x
    x = 870,005,276.16/30,965.51
  6. Step 6: Final answer
    x = 28,095.94

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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.