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Finding the Fourth Proportional to 149,762.32, 224,642.84 and 38,954

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Solution

The fourth proportional to 149,762.32, 224,642.84 and 38,954 is: 58,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,762.32 : 224,642.84 = 38,954 : x
  2. Step 2: Convert to fraction form
    149,762.32/224,642.84 = 38,954/x
  3. Step 3: Cross multiply
    149,762.32x = 224,642.84 × 38,954
  4. Step 4: Simplify right side
    149,762.32x = 8,750,737,189.36
  5. Step 5: Solve for x
    x = 8,750,737,189.36/149,762.32
  6. Step 6: Final answer
    x = 58,430.83

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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.