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Finding the Fourth Proportional to 50,435.66, 75,643.75 and 15,378.86

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Solution

The fourth proportional to 50,435.66, 75,643.75 and 15,378.86 is: 23,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,435.66 : 75,643.75 = 15,378.86 : x
  2. Step 2: Convert to fraction form
    50,435.66/75,643.75 = 15,378.86/x
  3. Step 3: Cross multiply
    50,435.66x = 75,643.75 × 15,378.86
  4. Step 4: Simplify right side
    50,435.66x = 1,163,314,641.13
  5. Step 5: Solve for x
    x = 1,163,314,641.13/50,435.66
  6. Step 6: Final answer
    x = 23,065.32

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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.