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Finding the Fourth Proportional to 30,762.88, 42,452.78 and 16,615.72

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Solution

The fourth proportional to 30,762.88, 42,452.78 and 16,615.72 is: 22,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.88 : 42,452.78 = 16,615.72 : x
  2. Step 2: Convert to fraction form
    30,762.88/42,452.78 = 16,615.72/x
  3. Step 3: Cross multiply
    30,762.88x = 42,452.78 × 16,615.72
  4. Step 4: Simplify right side
    30,762.88x = 705,383,505.70
  5. Step 5: Solve for x
    x = 705,383,505.70/30,762.88
  6. Step 6: Final answer
    x = 22,929.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.