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Finding the Fourth Proportional to 38,420.86, 53,019.18 and 21,424.18

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Solution

The fourth proportional to 38,420.86, 53,019.18 and 21,424.18 is: 29,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.86 : 53,019.18 = 21,424.18 : x
  2. Step 2: Convert to fraction form
    38,420.86/53,019.18 = 21,424.18/x
  3. Step 3: Cross multiply
    38,420.86x = 53,019.18 × 21,424.18
  4. Step 4: Simplify right side
    38,420.86x = 1,135,892,455.77
  5. Step 5: Solve for x
    x = 1,135,892,455.77/38,420.86
  6. Step 6: Final answer
    x = 29,564.47

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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.