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Finding the Fourth Proportional to 46,646.16, 69,954 and 15,473.04

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Solution

The fourth proportional to 46,646.16, 69,954 and 15,473.04 is: 23,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646.16 : 69,954 = 15,473.04 : x
  2. Step 2: Convert to fraction form
    46,646.16/69,954 = 15,473.04/x
  3. Step 3: Cross multiply
    46,646.16x = 69,954 × 15,473.04
  4. Step 4: Simplify right side
    46,646.16x = 1,082,401,040.16
  5. Step 5: Solve for x
    x = 1,082,401,040.16/46,646.16
  6. Step 6: Final answer
    x = 23,204.50

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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.