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Finding the Fourth Proportional to 61,283.42, 91,944.94 and 30,096.80

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Solution

The fourth proportional to 61,283.42, 91,944.94 and 30,096.80 is: 45,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,283.42 : 91,944.94 = 30,096.80 : x
  2. Step 2: Convert to fraction form
    61,283.42/91,944.94 = 30,096.80/x
  3. Step 3: Cross multiply
    61,283.42x = 91,944.94 × 30,096.80
  4. Step 4: Simplify right side
    61,283.42x = 2,767,248,470.19
  5. Step 5: Solve for x
    x = 2,767,248,470.19/61,283.42
  6. Step 6: Final answer
    x = 45,154.93

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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.