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Finding the Fourth Proportional to 38,644.68, 53,331.64 and 21,647.90

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Solution

The fourth proportional to 38,644.68, 53,331.64 and 21,647.90 is: 29,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.68 : 53,331.64 = 21,647.90 : x
  2. Step 2: Convert to fraction form
    38,644.68/53,331.64 = 21,647.90/x
  3. Step 3: Cross multiply
    38,644.68x = 53,331.64 × 21,647.90
  4. Step 4: Simplify right side
    38,644.68x = 1,154,518,009.56
  5. Step 5: Solve for x
    x = 1,154,518,009.56/38,644.68
  6. Step 6: Final answer
    x = 29,875.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.