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Finding the Fourth Proportional to 29,713.62, 44,570.50 and 7,527

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Solution

The fourth proportional to 29,713.62, 44,570.50 and 7,527 is: 11,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.62 : 44,570.50 = 7,527 : x
  2. Step 2: Convert to fraction form
    29,713.62/44,570.50 = 7,527/x
  3. Step 3: Cross multiply
    29,713.62x = 44,570.50 × 7,527
  4. Step 4: Simplify right side
    29,713.62x = 335,482,153.50
  5. Step 5: Solve for x
    x = 335,482,153.50/29,713.62
  6. Step 6: Final answer
    x = 11,290.52

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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.