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Finding the Fourth Proportional to 46,702.36, 64,458.84 and 28,556.18

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Solution

The fourth proportional to 46,702.36, 64,458.84 and 28,556.18 is: 39,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702.36 : 64,458.84 = 28,556.18 : x
  2. Step 2: Convert to fraction form
    46,702.36/64,458.84 = 28,556.18/x
  3. Step 3: Cross multiply
    46,702.36x = 64,458.84 × 28,556.18
  4. Step 4: Simplify right side
    46,702.36x = 1,840,698,398.78
  5. Step 5: Solve for x
    x = 1,840,698,398.78/46,702.36
  6. Step 6: Final answer
    x = 39,413.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.