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Finding the Fourth Proportional to 30,992.16, 42,804 and 24,003.12

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Solution

The fourth proportional to 30,992.16, 42,804 and 24,003.12 is: 33,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.16 : 42,804 = 24,003.12 : x
  2. Step 2: Convert to fraction form
    30,992.16/42,804 = 24,003.12/x
  3. Step 3: Cross multiply
    30,992.16x = 42,804 × 24,003.12
  4. Step 4: Simplify right side
    30,992.16x = 1,027,429,548.48
  5. Step 5: Solve for x
    x = 1,027,429,548.48/30,992.16
  6. Step 6: Final answer
    x = 33,151.27

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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.