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Finding the Fourth Proportional to 83,075.15, 114,642.22 and 47,264.39

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Solution

The fourth proportional to 83,075.15, 114,642.22 and 47,264.39 is: 65,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.15 : 114,642.22 = 47,264.39 : x
  2. Step 2: Convert to fraction form
    83,075.15/114,642.22 = 47,264.39/x
  3. Step 3: Cross multiply
    83,075.15x = 114,642.22 × 47,264.39
  4. Step 4: Simplify right side
    83,075.15x = 5,418,494,596.55
  5. Step 5: Solve for x
    x = 5,418,494,596.55/83,075.15
  6. Step 6: Final answer
    x = 65,224.01

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