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Finding the Fourth Proportional to 49,578, 74,352.42 and 14,509.32

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Solution

The fourth proportional to 49,578, 74,352.42 and 14,509.32 is: 21,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578 : 74,352.42 = 14,509.32 : x
  2. Step 2: Convert to fraction form
    49,578/74,352.42 = 14,509.32/x
  3. Step 3: Cross multiply
    49,578x = 74,352.42 × 14,509.32
  4. Step 4: Simplify right side
    49,578x = 1,078,803,054.55
  5. Step 5: Solve for x
    x = 1,078,803,054.55/49,578
  6. Step 6: Final answer
    x = 21,759.71

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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.