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Finding the Fourth Proportional to 44,575.84, 66,870.20 and 23,788

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Solution

The fourth proportional to 44,575.84, 66,870.20 and 23,788 is: 35,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,575.84 : 66,870.20 = 23,788 : x
  2. Step 2: Convert to fraction form
    44,575.84/66,870.20 = 23,788/x
  3. Step 3: Cross multiply
    44,575.84x = 66,870.20 × 23,788
  4. Step 4: Simplify right side
    44,575.84x = 1,590,708,317.60
  5. Step 5: Solve for x
    x = 1,590,708,317.60/44,575.84
  6. Step 6: Final answer
    x = 35,685.44

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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.