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Finding the Fourth Proportional to 30,514.32, 45,792 and 10,792.80

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Solution

The fourth proportional to 30,514.32, 45,792 and 10,792.80 is: 16,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.32 : 45,792 = 10,792.80 : x
  2. Step 2: Convert to fraction form
    30,514.32/45,792 = 10,792.80/x
  3. Step 3: Cross multiply
    30,514.32x = 45,792 × 10,792.80
  4. Step 4: Simplify right side
    30,514.32x = 494,223,897.60
  5. Step 5: Solve for x
    x = 494,223,897.60/30,514.32
  6. Step 6: Final answer
    x = 16,196.46

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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.