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Finding the Fourth Proportional to 30,505.82, 42,098.74 and 17,076.74

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Solution

The fourth proportional to 30,505.82, 42,098.74 and 17,076.74 is: 23,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.82 : 42,098.74 = 17,076.74 : x
  2. Step 2: Convert to fraction form
    30,505.82/42,098.74 = 17,076.74/x
  3. Step 3: Cross multiply
    30,505.82x = 42,098.74 × 17,076.74
  4. Step 4: Simplify right side
    30,505.82x = 718,908,984.12
  5. Step 5: Solve for x
    x = 718,908,984.12/30,505.82
  6. Step 6: Final answer
    x = 23,566.29

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1.5x scale

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.