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Finding the Fourth Proportional to 30,995.82, 42,774.48 and 16,848.63

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Solution

The fourth proportional to 30,995.82, 42,774.48 and 16,848.63 is: 23,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,995.82 : 42,774.48 = 16,848.63 : x
  2. Step 2: Convert to fraction form
    30,995.82/42,774.48 = 16,848.63/x
  3. Step 3: Cross multiply
    30,995.82x = 42,774.48 × 16,848.63
  4. Step 4: Simplify right side
    30,995.82x = 720,691,386.96
  5. Step 5: Solve for x
    x = 720,691,386.96/30,995.82
  6. Step 6: Final answer
    x = 23,251.24

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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.