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Finding the Fourth Proportional to 110,715.84, 166,075.11 and 31,830.75

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Solution

The fourth proportional to 110,715.84, 166,075.11 and 31,830.75 is: 47,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,715.84 : 166,075.11 = 31,830.75 : x
  2. Step 2: Convert to fraction form
    110,715.84/166,075.11 = 31,830.75/x
  3. Step 3: Cross multiply
    110,715.84x = 166,075.11 × 31,830.75
  4. Step 4: Simplify right side
    110,715.84x = 5,286,295,307.63
  5. Step 5: Solve for x
    x = 5,286,295,307.63/110,715.84
  6. Step 6: Final answer
    x = 47,746.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.