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Finding the Fourth Proportional to 75,075.58, 103,604.34 and 46,781.38

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Solution

The fourth proportional to 75,075.58, 103,604.34 and 46,781.38 is: 64,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,075.58 : 103,604.34 = 46,781.38 : x
  2. Step 2: Convert to fraction form
    75,075.58/103,604.34 = 46,781.38/x
  3. Step 3: Cross multiply
    75,075.58x = 103,604.34 × 46,781.38
  4. Step 4: Simplify right side
    75,075.58x = 4,846,753,999.19
  5. Step 5: Solve for x
    x = 4,846,753,999.19/75,075.58
  6. Step 6: Final answer
    x = 64,558.33

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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.