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Finding the Fourth Proportional to 109,738, 151,438.44 and 59,437

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Solution

The fourth proportional to 109,738, 151,438.44 and 59,437 is: 82,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,738 : 151,438.44 = 59,437 : x
  2. Step 2: Convert to fraction form
    109,738/151,438.44 = 59,437/x
  3. Step 3: Cross multiply
    109,738x = 151,438.44 × 59,437
  4. Step 4: Simplify right side
    109,738x = 9,001,046,558.28
  5. Step 5: Solve for x
    x = 9,001,046,558.28/109,738
  6. Step 6: Final answer
    x = 82,023.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.