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Finding the Fourth Proportional to 46,462.55, 69,696.48 and 13,180

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Solution

The fourth proportional to 46,462.55, 69,696.48 and 13,180 is: 19,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,462.55 : 69,696.48 = 13,180 : x
  2. Step 2: Convert to fraction form
    46,462.55/69,696.48 = 13,180/x
  3. Step 3: Cross multiply
    46,462.55x = 69,696.48 × 13,180
  4. Step 4: Simplify right side
    46,462.55x = 918,599,606.40
  5. Step 5: Solve for x
    x = 918,599,606.40/46,462.55
  6. Step 6: Final answer
    x = 19,770.75

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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.