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Finding the Fourth Proportional to 105,091.53, 145,029.49 and 59,776.03

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Solution

The fourth proportional to 105,091.53, 145,029.49 and 59,776.03 is: 82,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,091.53 : 145,029.49 = 59,776.03 : x
  2. Step 2: Convert to fraction form
    105,091.53/145,029.49 = 59,776.03/x
  3. Step 3: Cross multiply
    105,091.53x = 145,029.49 × 59,776.03
  4. Step 4: Simplify right side
    105,091.53x = 8,669,286,361.18
  5. Step 5: Solve for x
    x = 8,669,286,361.18/105,091.53
  6. Step 6: Final answer
    x = 82,492.72

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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.