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Finding the Fourth Proportional to 38,574.16, 53,232.42 and 21,807.16

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Solution

The fourth proportional to 38,574.16, 53,232.42 and 21,807.16 is: 30,093.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574.16 : 53,232.42 = 21,807.16 : x
  2. Step 2: Convert to fraction form
    38,574.16/53,232.42 = 21,807.16/x
  3. Step 3: Cross multiply
    38,574.16x = 53,232.42 × 21,807.16
  4. Step 4: Simplify right side
    38,574.16x = 1,160,847,900.13
  5. Step 5: Solve for x
    x = 1,160,847,900.13/38,574.16
  6. Step 6: Final answer
    x = 30,093.93

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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.