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Finding the Fourth Proportional to 54,435.68, 81,643.80 and 34,655.48

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Solution

The fourth proportional to 54,435.68, 81,643.80 and 34,655.48 is: 51,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,435.68 : 81,643.80 = 34,655.48 : x
  2. Step 2: Convert to fraction form
    54,435.68/81,643.80 = 34,655.48/x
  3. Step 3: Cross multiply
    54,435.68x = 81,643.80 × 34,655.48
  4. Step 4: Simplify right side
    54,435.68x = 2,829,405,078.02
  5. Step 5: Solve for x
    x = 2,829,405,078.02/54,435.68
  6. Step 6: Final answer
    x = 51,977.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.