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Finding the Fourth Proportional to 38,032, 57,007.74 and 14,329.24

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Solution

The fourth proportional to 38,032, 57,007.74 and 14,329.24 is: 21,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032 : 57,007.74 = 14,329.24 : x
  2. Step 2: Convert to fraction form
    38,032/57,007.74 = 14,329.24/x
  3. Step 3: Cross multiply
    38,032x = 57,007.74 × 14,329.24
  4. Step 4: Simplify right side
    38,032x = 816,877,588.32
  5. Step 5: Solve for x
    x = 816,877,588.32/38,032
  6. Step 6: Final answer
    x = 21,478.69

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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.