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Finding the Fourth Proportional to 30,715.74, 46,033.38 and 29,943

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Solution

The fourth proportional to 30,715.74, 46,033.38 and 29,943 is: 44,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.74 : 46,033.38 = 29,943 : x
  2. Step 2: Convert to fraction form
    30,715.74/46,033.38 = 29,943/x
  3. Step 3: Cross multiply
    30,715.74x = 46,033.38 × 29,943
  4. Step 4: Simplify right side
    30,715.74x = 1,378,377,497.34
  5. Step 5: Solve for x
    x = 1,378,377,497.34/30,715.74
  6. Step 6: Final answer
    x = 44,875.28

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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.