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Finding the Fourth Proportional to 30,505.80, 42,098.03 and 17,077.08

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Solution

The fourth proportional to 30,505.80, 42,098.03 and 17,077.08 is: 23,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.80 : 42,098.03 = 17,077.08 : x
  2. Step 2: Convert to fraction form
    30,505.80/42,098.03 = 17,077.08/x
  3. Step 3: Cross multiply
    30,505.80x = 42,098.03 × 17,077.08
  4. Step 4: Simplify right side
    30,505.80x = 718,911,446.01
  5. Step 5: Solve for x
    x = 718,911,446.01/30,505.80
  6. Step 6: Final answer
    x = 23,566.38

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Why These Related Problems?

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