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Finding the Fourth Proportional to 46,302, 69,490.24 and 24,122

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Solution

The fourth proportional to 46,302, 69,490.24 and 24,122 is: 36,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302 : 69,490.24 = 24,122 : x
  2. Step 2: Convert to fraction form
    46,302/69,490.24 = 24,122/x
  3. Step 3: Cross multiply
    46,302x = 69,490.24 × 24,122
  4. Step 4: Simplify right side
    46,302x = 1,676,243,569.28
  5. Step 5: Solve for x
    x = 1,676,243,569.28/46,302
  6. Step 6: Final answer
    x = 36,202.40

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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.