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Finding the Fourth Proportional to 30,878.99, 42,613.16 and 16,731.83

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Solution

The fourth proportional to 30,878.99, 42,613.16 and 16,731.83 is: 23,090.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.99 : 42,613.16 = 16,731.83 : x
  2. Step 2: Convert to fraction form
    30,878.99/42,613.16 = 16,731.83/x
  3. Step 3: Cross multiply
    30,878.99x = 42,613.16 × 16,731.83
  4. Step 4: Simplify right side
    30,878.99x = 712,996,065.22
  5. Step 5: Solve for x
    x = 712,996,065.22/30,878.99
  6. Step 6: Final answer
    x = 23,090.01

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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.