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Finding the Fourth Proportional to 30,678.56, 42,364.16 and 19,368.08

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Solution

The fourth proportional to 30,678.56, 42,364.16 and 19,368.08 is: 26,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.56 : 42,364.16 = 19,368.08 : x
  2. Step 2: Convert to fraction form
    30,678.56/42,364.16 = 19,368.08/x
  3. Step 3: Cross multiply
    30,678.56x = 42,364.16 × 19,368.08
  4. Step 4: Simplify right side
    30,678.56x = 820,512,440.01
  5. Step 5: Solve for x
    x = 820,512,440.01/30,678.56
  6. Step 6: Final answer
    x = 26,745.47

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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.