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Finding the Fourth Proportional to 52,303.44, 78,394.32 and 24,164.40

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Solution

The fourth proportional to 52,303.44, 78,394.32 and 24,164.40 is: 36,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303.44 : 78,394.32 = 24,164.40 : x
  2. Step 2: Convert to fraction form
    52,303.44/78,394.32 = 24,164.40/x
  3. Step 3: Cross multiply
    52,303.44x = 78,394.32 × 24,164.40
  4. Step 4: Simplify right side
    52,303.44x = 1,894,351,706.21
  5. Step 5: Solve for x
    x = 1,894,351,706.21/52,303.44
  6. Step 6: Final answer
    x = 36,218.49

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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.