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Finding the Fourth Proportional to 103,678.08, 155,491.20 and 29,806.08

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Solution

The fourth proportional to 103,678.08, 155,491.20 and 29,806.08 is: 44,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678.08 : 155,491.20 = 29,806.08 : x
  2. Step 2: Convert to fraction form
    103,678.08/155,491.20 = 29,806.08/x
  3. Step 3: Cross multiply
    103,678.08x = 155,491.20 × 29,806.08
  4. Step 4: Simplify right side
    103,678.08x = 4,634,583,146.50
  5. Step 5: Solve for x
    x = 4,634,583,146.50/103,678.08
  6. Step 6: Final answer
    x = 44,701.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.