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Finding the Fourth Proportional to 38,400.96, 52,993.76 and 22,482.24

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Solution

The fourth proportional to 38,400.96, 52,993.76 and 22,482.24 is: 31,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.96 : 52,993.76 = 22,482.24 : x
  2. Step 2: Convert to fraction form
    38,400.96/52,993.76 = 22,482.24/x
  3. Step 3: Cross multiply
    38,400.96x = 52,993.76 × 22,482.24
  4. Step 4: Simplify right side
    38,400.96x = 1,191,418,430.82
  5. Step 5: Solve for x
    x = 1,191,418,430.82/38,400.96
  6. Step 6: Final answer
    x = 31,025.75

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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.