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Finding the Fourth Proportional to 30,845.89, 42,567.46 and 16,698.74

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Solution

The fourth proportional to 30,845.89, 42,567.46 and 16,698.74 is: 23,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845.89 : 42,567.46 = 16,698.74 : x
  2. Step 2: Convert to fraction form
    30,845.89/42,567.46 = 16,698.74/x
  3. Step 3: Cross multiply
    30,845.89x = 42,567.46 × 16,698.74
  4. Step 4: Simplify right side
    30,845.89x = 710,822,650.67
  5. Step 5: Solve for x
    x = 710,822,650.67/30,845.89
  6. Step 6: Final answer
    x = 23,044.32

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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.