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Finding the Fourth Proportional to 30,647.59, 42,265.59 and 19,881.20

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Solution

The fourth proportional to 30,647.59, 42,265.59 and 19,881.20 is: 27,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.59 : 42,265.59 = 19,881.20 : x
  2. Step 2: Convert to fraction form
    30,647.59/42,265.59 = 19,881.20/x
  3. Step 3: Cross multiply
    30,647.59x = 42,265.59 × 19,881.20
  4. Step 4: Simplify right side
    30,647.59x = 840,290,647.91
  5. Step 5: Solve for x
    x = 840,290,647.91/30,647.59
  6. Step 6: Final answer
    x = 27,417.84

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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.