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Finding the Fourth Proportional to 46,356.82, 69,541.86 and 14,338.36

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Solution

The fourth proportional to 46,356.82, 69,541.86 and 14,338.36 is: 21,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,356.82 : 69,541.86 = 14,338.36 : x
  2. Step 2: Convert to fraction form
    46,356.82/69,541.86 = 14,338.36/x
  3. Step 3: Cross multiply
    46,356.82x = 69,541.86 × 14,338.36
  4. Step 4: Simplify right side
    46,356.82x = 997,116,223.75
  5. Step 5: Solve for x
    x = 997,116,223.75/46,356.82
  6. Step 6: Final answer
    x = 21,509.59

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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.