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Finding the Fourth Proportional to 30,577.29, 42,197.09 and 18,476.10

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Solution

The fourth proportional to 30,577.29, 42,197.09 and 18,476.10 is: 25,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.29 : 42,197.09 = 18,476.10 : x
  2. Step 2: Convert to fraction form
    30,577.29/42,197.09 = 18,476.10/x
  3. Step 3: Cross multiply
    30,577.29x = 42,197.09 × 18,476.10
  4. Step 4: Simplify right side
    30,577.29x = 779,637,654.55
  5. Step 5: Solve for x
    x = 779,637,654.55/30,577.29
  6. Step 6: Final answer
    x = 25,497.28

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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.