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Finding the Fourth Proportional to 28,742.16, 43,115.06 and 9,021.50

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Solution

The fourth proportional to 28,742.16, 43,115.06 and 9,021.50 is: 13,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,742.16 : 43,115.06 = 9,021.50 : x
  2. Step 2: Convert to fraction form
    28,742.16/43,115.06 = 9,021.50/x
  3. Step 3: Cross multiply
    28,742.16x = 43,115.06 × 9,021.50
  4. Step 4: Simplify right side
    28,742.16x = 388,962,513.79
  5. Step 5: Solve for x
    x = 388,962,513.79/28,742.16
  6. Step 6: Final answer
    x = 13,532.82

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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.