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Finding the Fourth Proportional to 46,024, 69,029.12 and 14,855.04

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Solution

The fourth proportional to 46,024, 69,029.12 and 14,855.04 is: 22,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,024 : 69,029.12 = 14,855.04 : x
  2. Step 2: Convert to fraction form
    46,024/69,029.12 = 14,855.04/x
  3. Step 3: Cross multiply
    46,024x = 69,029.12 × 14,855.04
  4. Step 4: Simplify right side
    46,024x = 1,025,430,338.76
  5. Step 5: Solve for x
    x = 1,025,430,338.76/46,024
  6. Step 6: Final answer
    x = 22,280.34

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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.