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Finding the Fourth Proportional to 28,531.59, 42,768.23 and 9,806.01

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Solution

The fourth proportional to 28,531.59, 42,768.23 and 9,806.01 is: 14,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,531.59 : 42,768.23 = 9,806.01 : x
  2. Step 2: Convert to fraction form
    28,531.59/42,768.23 = 9,806.01/x
  3. Step 3: Cross multiply
    28,531.59x = 42,768.23 × 9,806.01
  4. Step 4: Simplify right side
    28,531.59x = 419,385,642.03
  5. Step 5: Solve for x
    x = 419,385,642.03/28,531.59
  6. Step 6: Final answer
    x = 14,698.99

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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.