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Finding the Fourth Proportional to 77,146.38, 106,449.84 and 44,888.22

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Solution

The fourth proportional to 77,146.38, 106,449.84 and 44,888.22 is: 61,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,146.38 : 106,449.84 = 44,888.22 : x
  2. Step 2: Convert to fraction form
    77,146.38/106,449.84 = 44,888.22/x
  3. Step 3: Cross multiply
    77,146.38x = 106,449.84 × 44,888.22
  4. Step 4: Simplify right side
    77,146.38x = 4,778,343,836.88
  5. Step 5: Solve for x
    x = 4,778,343,836.88/77,146.38
  6. Step 6: Final answer
    x = 61,938.67

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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.