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Finding the Fourth Proportional to 46,556.60, 69,878.82 and 30,985.16

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Solution

The fourth proportional to 46,556.60, 69,878.82 and 30,985.16 is: 46,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,556.60 : 69,878.82 = 30,985.16 : x
  2. Step 2: Convert to fraction form
    46,556.60/69,878.82 = 30,985.16/x
  3. Step 3: Cross multiply
    46,556.60x = 69,878.82 × 30,985.16
  4. Step 4: Simplify right side
    46,556.60x = 2,165,206,418.31
  5. Step 5: Solve for x
    x = 2,165,206,418.31/46,556.60
  6. Step 6: Final answer
    x = 46,506.97

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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.