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Finding the Fourth Proportional to 30,322.74, 45,463.52 and 10,590.50

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Solution

The fourth proportional to 30,322.74, 45,463.52 and 10,590.50 is: 15,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322.74 : 45,463.52 = 10,590.50 : x
  2. Step 2: Convert to fraction form
    30,322.74/45,463.52 = 10,590.50/x
  3. Step 3: Cross multiply
    30,322.74x = 45,463.52 × 10,590.50
  4. Step 4: Simplify right side
    30,322.74x = 481,481,408.56
  5. Step 5: Solve for x
    x = 481,481,408.56/30,322.74
  6. Step 6: Final answer
    x = 15,878.56

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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.