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Finding the Fourth Proportional to 100,938, 151,430.88 and 30,812.88

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Solution

The fourth proportional to 100,938, 151,430.88 and 30,812.88 is: 46,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,938 : 151,430.88 = 30,812.88 : x
  2. Step 2: Convert to fraction form
    100,938/151,430.88 = 30,812.88/x
  3. Step 3: Cross multiply
    100,938x = 151,430.88 × 30,812.88
  4. Step 4: Simplify right side
    100,938x = 4,666,021,533.73
  5. Step 5: Solve for x
    x = 4,666,021,533.73/100,938
  6. Step 6: Final answer
    x = 46,226.61

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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.