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Finding the Fourth Proportional to 30,463.24, 45,568.50 and 28,597

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Solution

The fourth proportional to 30,463.24, 45,568.50 and 28,597 is: 42,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.24 : 45,568.50 = 28,597 : x
  2. Step 2: Convert to fraction form
    30,463.24/45,568.50 = 28,597/x
  3. Step 3: Cross multiply
    30,463.24x = 45,568.50 × 28,597
  4. Step 4: Simplify right side
    30,463.24x = 1,303,122,394.50
  5. Step 5: Solve for x
    x = 1,303,122,394.50/30,463.24
  6. Step 6: Final answer
    x = 42,776.88

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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.