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Finding the Fourth Proportional to 75,064, 103,589.64 and 41,075.46

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Solution

The fourth proportional to 75,064, 103,589.64 and 41,075.46 is: 56,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,064 : 103,589.64 = 41,075.46 : x
  2. Step 2: Convert to fraction form
    75,064/103,589.64 = 41,075.46/x
  3. Step 3: Cross multiply
    75,064x = 103,589.64 × 41,075.46
  4. Step 4: Simplify right side
    75,064x = 4,254,992,114.23
  5. Step 5: Solve for x
    x = 4,254,992,114.23/75,064
  6. Step 6: Final answer
    x = 56,684.86

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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.