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Finding the Fourth Proportional to 31,017.17, 46,525.76 and 7,643.60

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Solution

The fourth proportional to 31,017.17, 46,525.76 and 7,643.60 is: 11,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.17 : 46,525.76 = 7,643.60 : x
  2. Step 2: Convert to fraction form
    31,017.17/46,525.76 = 7,643.60/x
  3. Step 3: Cross multiply
    31,017.17x = 46,525.76 × 7,643.60
  4. Step 4: Simplify right side
    31,017.17x = 355,624,028.29
  5. Step 5: Solve for x
    x = 355,624,028.29/31,017.17
  6. Step 6: Final answer
    x = 11,465.39

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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.