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Finding the Fourth Proportional to 46,546.84, 69,808.71 and 13,267.19

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Solution

The fourth proportional to 46,546.84, 69,808.71 and 13,267.19 is: 19,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546.84 : 69,808.71 = 13,267.19 : x
  2. Step 2: Convert to fraction form
    46,546.84/69,808.71 = 13,267.19/x
  3. Step 3: Cross multiply
    46,546.84x = 69,808.71 × 13,267.19
  4. Step 4: Simplify right side
    46,546.84x = 926,165,606.18
  5. Step 5: Solve for x
    x = 926,165,606.18/46,546.84
  6. Step 6: Final answer
    x = 19,897.50

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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.