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Finding the Fourth Proportional to 28,342.38, 42,510.32 and 7,567.50

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Solution

The fourth proportional to 28,342.38, 42,510.32 and 7,567.50 is: 11,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,342.38 : 42,510.32 = 7,567.50 : x
  2. Step 2: Convert to fraction form
    28,342.38/42,510.32 = 7,567.50/x
  3. Step 3: Cross multiply
    28,342.38x = 42,510.32 × 7,567.50
  4. Step 4: Simplify right side
    28,342.38x = 321,696,846.60
  5. Step 5: Solve for x
    x = 321,696,846.60/28,342.38
  6. Step 6: Final answer
    x = 11,350.38

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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.