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Finding the Fourth Proportional to 46,304, 69,493.24 and 24,124

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Solution

The fourth proportional to 46,304, 69,493.24 and 24,124 is: 36,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,304 : 69,493.24 = 24,124 : x
  2. Step 2: Convert to fraction form
    46,304/69,493.24 = 24,124/x
  3. Step 3: Cross multiply
    46,304x = 69,493.24 × 24,124
  4. Step 4: Simplify right side
    46,304x = 1,676,454,921.76
  5. Step 5: Solve for x
    x = 1,676,454,921.76/46,304
  6. Step 6: Final answer
    x = 36,205.40

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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.