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Finding the Fourth Proportional to 50,653.16, 75,988.38 and 22,583.40

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Solution

The fourth proportional to 50,653.16, 75,988.38 and 22,583.40 is: 33,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.16 : 75,988.38 = 22,583.40 : x
  2. Step 2: Convert to fraction form
    50,653.16/75,988.38 = 22,583.40/x
  3. Step 3: Cross multiply
    50,653.16x = 75,988.38 × 22,583.40
  4. Step 4: Simplify right side
    50,653.16x = 1,716,075,980.89
  5. Step 5: Solve for x
    x = 1,716,075,980.89/50,653.16
  6. Step 6: Final answer
    x = 33,878.95

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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.