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Finding the Fourth Proportional to 34,880.56, 52,319.93 and 13,527.24

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Solution

The fourth proportional to 34,880.56, 52,319.93 and 13,527.24 is: 20,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880.56 : 52,319.93 = 13,527.24 : x
  2. Step 2: Convert to fraction form
    34,880.56/52,319.93 = 13,527.24/x
  3. Step 3: Cross multiply
    34,880.56x = 52,319.93 × 13,527.24
  4. Step 4: Simplify right side
    34,880.56x = 707,743,986.06
  5. Step 5: Solve for x
    x = 707,743,986.06/34,880.56
  6. Step 6: Final answer
    x = 20,290.50

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Why These Related Problems?

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