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Finding the Fourth Proportional to 46,808.51, 70,205.84 and 17,219.42

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Solution

The fourth proportional to 46,808.51, 70,205.84 and 17,219.42 is: 25,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,808.51 : 70,205.84 = 17,219.42 : x
  2. Step 2: Convert to fraction form
    46,808.51/70,205.84 = 17,219.42/x
  3. Step 3: Cross multiply
    46,808.51x = 70,205.84 × 17,219.42
  4. Step 4: Simplify right side
    46,808.51x = 1,208,903,845.41
  5. Step 5: Solve for x
    x = 1,208,903,845.41/46,808.51
  6. Step 6: Final answer
    x = 25,826.58

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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.