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Finding the Fourth Proportional to 47,490, 71,235.12 and 19,788

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Solution

The fourth proportional to 47,490, 71,235.12 and 19,788 is: 29,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,490 : 71,235.12 = 19,788 : x
  2. Step 2: Convert to fraction form
    47,490/71,235.12 = 19,788/x
  3. Step 3: Cross multiply
    47,490x = 71,235.12 × 19,788
  4. Step 4: Simplify right side
    47,490x = 1,409,600,554.56
  5. Step 5: Solve for x
    x = 1,409,600,554.56/47,490
  6. Step 6: Final answer
    x = 29,682.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.