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Finding the Fourth Proportional to 46,855, 70,289.81 and 15,257.60

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Solution

The fourth proportional to 46,855, 70,289.81 and 15,257.60 is: 22,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,855 : 70,289.81 = 15,257.60 : x
  2. Step 2: Convert to fraction form
    46,855/70,289.81 = 15,257.60/x
  3. Step 3: Cross multiply
    46,855x = 70,289.81 × 15,257.60
  4. Step 4: Simplify right side
    46,855x = 1,072,453,805.06
  5. Step 5: Solve for x
    x = 1,072,453,805.06/46,855
  6. Step 6: Final answer
    x = 22,888.78

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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.