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Finding the Fourth Proportional to 28,127, 42,190.91 and 7,350.50

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Solution

The fourth proportional to 28,127, 42,190.91 and 7,350.50 is: 11,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,127 : 42,190.91 = 7,350.50 : x
  2. Step 2: Convert to fraction form
    28,127/42,190.91 = 7,350.50/x
  3. Step 3: Cross multiply
    28,127x = 42,190.91 × 7,350.50
  4. Step 4: Simplify right side
    28,127x = 310,124,283.96
  5. Step 5: Solve for x
    x = 310,124,283.96/28,127
  6. Step 6: Final answer
    x = 11,025.86

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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.