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Finding the Fourth Proportional to 33,032.96, 49,557 and 14,316.13

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Solution

The fourth proportional to 33,032.96, 49,557 and 14,316.13 is: 21,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,032.96 : 49,557 = 14,316.13 : x
  2. Step 2: Convert to fraction form
    33,032.96/49,557 = 14,316.13/x
  3. Step 3: Cross multiply
    33,032.96x = 49,557 × 14,316.13
  4. Step 4: Simplify right side
    33,032.96x = 709,464,454.41
  5. Step 5: Solve for x
    x = 709,464,454.41/33,032.96
  6. Step 6: Final answer
    x = 21,477.47

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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.