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Finding the Fourth Proportional to 34,756.84, 51,898.13 and 27,657.16

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Solution

The fourth proportional to 34,756.84, 51,898.13 and 27,657.16 is: 41,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,756.84 : 51,898.13 = 27,657.16 : x
  2. Step 2: Convert to fraction form
    34,756.84/51,898.13 = 27,657.16/x
  3. Step 3: Cross multiply
    34,756.84x = 51,898.13 × 27,657.16
  4. Step 4: Simplify right side
    34,756.84x = 1,435,354,885.11
  5. Step 5: Solve for x
    x = 1,435,354,885.11/34,756.84
  6. Step 6: Final answer
    x = 41,297.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.