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Finding the Fourth Proportional to 76,874.51, 106,082.25 and 44,606.63

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Solution

The fourth proportional to 76,874.51, 106,082.25 and 44,606.63 is: 61,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,874.51 : 106,082.25 = 44,606.63 : x
  2. Step 2: Convert to fraction form
    76,874.51/106,082.25 = 44,606.63/x
  3. Step 3: Cross multiply
    76,874.51x = 106,082.25 × 44,606.63
  4. Step 4: Simplify right side
    76,874.51x = 4,731,971,675.32
  5. Step 5: Solve for x
    x = 4,731,971,675.32/76,874.51
  6. Step 6: Final answer
    x = 61,554.50

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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.