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Finding the Fourth Proportional to 38,522.40, 57,783.60 and 30,746.40

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Solution

The fourth proportional to 38,522.40, 57,783.60 and 30,746.40 is: 46,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,522.40 : 57,783.60 = 30,746.40 : x
  2. Step 2: Convert to fraction form
    38,522.40/57,783.60 = 30,746.40/x
  3. Step 3: Cross multiply
    38,522.40x = 57,783.60 × 30,746.40
  4. Step 4: Simplify right side
    38,522.40x = 1,776,637,679.04
  5. Step 5: Solve for x
    x = 1,776,637,679.04/38,522.40
  6. Step 6: Final answer
    x = 46,119.60

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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.