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Finding the Fourth Proportional to 46,021.20, 69,030.24 and 14,431.20

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Solution

The fourth proportional to 46,021.20, 69,030.24 and 14,431.20 is: 21,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,021.20 : 69,030.24 = 14,431.20 : x
  2. Step 2: Convert to fraction form
    46,021.20/69,030.24 = 14,431.20/x
  3. Step 3: Cross multiply
    46,021.20x = 69,030.24 × 14,431.20
  4. Step 4: Simplify right side
    46,021.20x = 996,189,199.49
  5. Step 5: Solve for x
    x = 996,189,199.49/46,021.20
  6. Step 6: Final answer
    x = 21,646.31

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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.