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Finding the Fourth Proportional to 46,893.68, 70,347.46 and 13,609.42

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Solution

The fourth proportional to 46,893.68, 70,347.46 and 13,609.42 is: 20,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,893.68 : 70,347.46 = 13,609.42 : x
  2. Step 2: Convert to fraction form
    46,893.68/70,347.46 = 13,609.42/x
  3. Step 3: Cross multiply
    46,893.68x = 70,347.46 × 13,609.42
  4. Step 4: Simplify right side
    46,893.68x = 957,388,129.07
  5. Step 5: Solve for x
    x = 957,388,129.07/46,893.68
  6. Step 6: Final answer
    x = 20,416.14

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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.