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Finding the Fourth Proportional to 46,698.33, 70,039.96 and 13,410.83

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Solution

The fourth proportional to 46,698.33, 70,039.96 and 13,410.83 is: 20,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.33 : 70,039.96 = 13,410.83 : x
  2. Step 2: Convert to fraction form
    46,698.33/70,039.96 = 13,410.83/x
  3. Step 3: Cross multiply
    46,698.33x = 70,039.96 × 13,410.83
  4. Step 4: Simplify right side
    46,698.33x = 939,293,613.04
  5. Step 5: Solve for x
    x = 939,293,613.04/46,698.33
  6. Step 6: Final answer
    x = 20,114.07

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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.