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Finding the Fourth Proportional to 30,476.32, 42,053.12 and 17,046.88

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Solution

The fourth proportional to 30,476.32, 42,053.12 and 17,046.88 is: 23,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.32 : 42,053.12 = 17,046.88 : x
  2. Step 2: Convert to fraction form
    30,476.32/42,053.12 = 17,046.88/x
  3. Step 3: Cross multiply
    30,476.32x = 42,053.12 × 17,046.88
  4. Step 4: Simplify right side
    30,476.32x = 716,874,490.27
  5. Step 5: Solve for x
    x = 716,874,490.27/30,476.32
  6. Step 6: Final answer
    x = 23,522.34

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