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Finding the Fourth Proportional to 46,371, 69,569.94 and 13,539

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Solution

The fourth proportional to 46,371, 69,569.94 and 13,539 is: 20,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,371 : 69,569.94 = 13,539 : x
  2. Step 2: Convert to fraction form
    46,371/69,569.94 = 13,539/x
  3. Step 3: Cross multiply
    46,371x = 69,569.94 × 13,539
  4. Step 4: Simplify right side
    46,371x = 941,907,417.66
  5. Step 5: Solve for x
    x = 941,907,417.66/46,371
  6. Step 6: Final answer
    x = 20,312.42

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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.