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Finding the Fourth Proportional to 30,878.65, 42,612.58 and 16,731.48

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Solution

The fourth proportional to 30,878.65, 42,612.58 and 16,731.48 is: 23,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.65 : 42,612.58 = 16,731.48 : x
  2. Step 2: Convert to fraction form
    30,878.65/42,612.58 = 16,731.48/x
  3. Step 3: Cross multiply
    30,878.65x = 42,612.58 × 16,731.48
  4. Step 4: Simplify right side
    30,878.65x = 712,971,530.02
  5. Step 5: Solve for x
    x = 712,971,530.02/30,878.65
  6. Step 6: Final answer
    x = 23,089.47

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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.