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Finding the Fourth Proportional to 56,323.36, 84,406.08 and 43,786

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Solution

The fourth proportional to 56,323.36, 84,406.08 and 43,786 is: 65,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,323.36 : 84,406.08 = 43,786 : x
  2. Step 2: Convert to fraction form
    56,323.36/84,406.08 = 43,786/x
  3. Step 3: Cross multiply
    56,323.36x = 84,406.08 × 43,786
  4. Step 4: Simplify right side
    56,323.36x = 3,695,804,618.88
  5. Step 5: Solve for x
    x = 3,695,804,618.88/56,323.36
  6. Step 6: Final answer
    x = 65,617.62

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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.