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Finding the Fourth Proportional to 100,622.08, 150,933.12 and 30,501.40

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Solution

The fourth proportional to 100,622.08, 150,933.12 and 30,501.40 is: 45,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,622.08 : 150,933.12 = 30,501.40 : x
  2. Step 2: Convert to fraction form
    100,622.08/150,933.12 = 30,501.40/x
  3. Step 3: Cross multiply
    100,622.08x = 150,933.12 × 30,501.40
  4. Step 4: Simplify right side
    100,622.08x = 4,603,671,466.37
  5. Step 5: Solve for x
    x = 4,603,671,466.37/100,622.08
  6. Step 6: Final answer
    x = 45,752.10

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