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Finding the Fourth Proportional to 30,476.24, 42,047.88 and 19,862

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Solution

The fourth proportional to 30,476.24, 42,047.88 and 19,862 is: 27,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.24 : 42,047.88 = 19,862 : x
  2. Step 2: Convert to fraction form
    30,476.24/42,047.88 = 19,862/x
  3. Step 3: Cross multiply
    30,476.24x = 42,047.88 × 19,862
  4. Step 4: Simplify right side
    30,476.24x = 835,154,992.56
  5. Step 5: Solve for x
    x = 835,154,992.56/30,476.24
  6. Step 6: Final answer
    x = 27,403.48

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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.