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Finding the Fourth Proportional to 30,701.92, 42,411 and 23,716.48

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Solution

The fourth proportional to 30,701.92, 42,411 and 23,716.48 is: 32,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.92 : 42,411 = 23,716.48 : x
  2. Step 2: Convert to fraction form
    30,701.92/42,411 = 23,716.48/x
  3. Step 3: Cross multiply
    30,701.92x = 42,411 × 23,716.48
  4. Step 4: Simplify right side
    30,701.92x = 1,005,839,633.28
  5. Step 5: Solve for x
    x = 1,005,839,633.28/30,701.92
  6. Step 6: Final answer
    x = 32,761.46

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Double scale
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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.