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Finding the Fourth Proportional to 30,706.61, 46,032.52 and 11,982.29

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Solution

The fourth proportional to 30,706.61, 46,032.52 and 11,982.29 is: 17,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.61 : 46,032.52 = 11,982.29 : x
  2. Step 2: Convert to fraction form
    30,706.61/46,032.52 = 11,982.29/x
  3. Step 3: Cross multiply
    30,706.61x = 46,032.52 × 11,982.29
  4. Step 4: Simplify right side
    30,706.61x = 551,574,743.95
  5. Step 5: Solve for x
    x = 551,574,743.95/30,706.61
  6. Step 6: Final answer
    x = 17,962.74

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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.