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Finding the Fourth Proportional to 53,675.79, 74,075.14 and 31,017.79

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Solution

The fourth proportional to 53,675.79, 74,075.14 and 31,017.79 is: 42,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,675.79 : 74,075.14 = 31,017.79 : x
  2. Step 2: Convert to fraction form
    53,675.79/74,075.14 = 31,017.79/x
  3. Step 3: Cross multiply
    53,675.79x = 74,075.14 × 31,017.79
  4. Step 4: Simplify right side
    53,675.79x = 2,297,647,136.74
  5. Step 5: Solve for x
    x = 2,297,647,136.74/53,675.79
  6. Step 6: Final answer
    x = 42,806.02

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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.