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Finding the Fourth Proportional to 39,782.40, 54,892.80 and 24,678.72

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Solution

The fourth proportional to 39,782.40, 54,892.80 and 24,678.72 is: 34,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.40 : 54,892.80 = 24,678.72 : x
  2. Step 2: Convert to fraction form
    39,782.40/54,892.80 = 24,678.72/x
  3. Step 3: Cross multiply
    39,782.40x = 54,892.80 × 24,678.72
  4. Step 4: Simplify right side
    39,782.40x = 1,354,684,041.22
  5. Step 5: Solve for x
    x = 1,354,684,041.22/39,782.40
  6. Step 6: Final answer
    x = 34,052.35

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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.