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Finding the Fourth Proportional to 80,075.16, 110,510.54 and 46,539

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Solution

The fourth proportional to 80,075.16, 110,510.54 and 46,539 is: 64,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,075.16 : 110,510.54 = 46,539 : x
  2. Step 2: Convert to fraction form
    80,075.16/110,510.54 = 46,539/x
  3. Step 3: Cross multiply
    80,075.16x = 110,510.54 × 46,539
  4. Step 4: Simplify right side
    80,075.16x = 5,143,050,021.06
  5. Step 5: Solve for x
    x = 5,143,050,021.06/80,075.16
  6. Step 6: Final answer
    x = 64,227.78

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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.