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Finding the Fourth Proportional to 29,533.92, 40,739.76 and 19,464

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Solution

The fourth proportional to 29,533.92, 40,739.76 and 19,464 is: 26,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533.92 : 40,739.76 = 19,464 : x
  2. Step 2: Convert to fraction form
    29,533.92/40,739.76 = 19,464/x
  3. Step 3: Cross multiply
    29,533.92x = 40,739.76 × 19,464
  4. Step 4: Simplify right side
    29,533.92x = 792,958,688.64
  5. Step 5: Solve for x
    x = 792,958,688.64/29,533.92
  6. Step 6: Final answer
    x = 26,849.08

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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.