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Finding the Fourth Proportional to 30,724.40, 46,046.66 and 13,845.01

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Solution

The fourth proportional to 30,724.40, 46,046.66 and 13,845.01 is: 20,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.40 : 46,046.66 = 13,845.01 : x
  2. Step 2: Convert to fraction form
    30,724.40/46,046.66 = 13,845.01/x
  3. Step 3: Cross multiply
    30,724.40x = 46,046.66 × 13,845.01
  4. Step 4: Simplify right side
    30,724.40x = 637,516,468.17
  5. Step 5: Solve for x
    x = 637,516,468.17/30,724.40
  6. Step 6: Final answer
    x = 20,749.52

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