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Finding the Fourth Proportional to 46,398, 69,539.94 and 21,403.32

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Solution

The fourth proportional to 46,398, 69,539.94 and 21,403.32 is: 32,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,398 : 69,539.94 = 21,403.32 : x
  2. Step 2: Convert to fraction form
    46,398/69,539.94 = 21,403.32/x
  3. Step 3: Cross multiply
    46,398x = 69,539.94 × 21,403.32
  4. Step 4: Simplify right side
    46,398x = 1,488,385,588.60
  5. Step 5: Solve for x
    x = 1,488,385,588.60/46,398
  6. Step 6: Final answer
    x = 32,078.66

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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.