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Finding the Fourth Proportional to 30,833.16, 46,250 and 24,294.28

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Solution

The fourth proportional to 30,833.16, 46,250 and 24,294.28 is: 36,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.16 : 46,250 = 24,294.28 : x
  2. Step 2: Convert to fraction form
    30,833.16/46,250 = 24,294.28/x
  3. Step 3: Cross multiply
    30,833.16x = 46,250 × 24,294.28
  4. Step 4: Simplify right side
    30,833.16x = 1,123,610,450
  5. Step 5: Solve for x
    x = 1,123,610,450/30,833.16
  6. Step 6: Final answer
    x = 36,441.62

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Why These Related Problems?

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