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Finding the Fourth Proportional to 53,739.63, 74,154.75 and 31,075.17

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Solution

The fourth proportional to 53,739.63, 74,154.75 and 31,075.17 is: 42,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,739.63 : 74,154.75 = 31,075.17 : x
  2. Step 2: Convert to fraction form
    53,739.63/74,154.75 = 31,075.17/x
  3. Step 3: Cross multiply
    53,739.63x = 74,154.75 × 31,075.17
  4. Step 4: Simplify right side
    53,739.63x = 2,304,371,462.56
  5. Step 5: Solve for x
    x = 2,304,371,462.56/53,739.63
  6. Step 6: Final answer
    x = 42,880.30

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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.