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Finding the Fourth Proportional to 48,410.93, 72,644.82 and 20,328.82

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Solution

The fourth proportional to 48,410.93, 72,644.82 and 20,328.82 is: 30,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,410.93 : 72,644.82 = 20,328.82 : x
  2. Step 2: Convert to fraction form
    48,410.93/72,644.82 = 20,328.82/x
  3. Step 3: Cross multiply
    48,410.93x = 72,644.82 × 20,328.82
  4. Step 4: Simplify right side
    48,410.93x = 1,476,783,368.07
  5. Step 5: Solve for x
    x = 1,476,783,368.07/48,410.93
  6. Step 6: Final answer
    x = 30,505.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.