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Finding the Fourth Proportional to 110,712.80, 165,955.80 and 54,466.40

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Solution

The fourth proportional to 110,712.80, 165,955.80 and 54,466.40 is: 81,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,712.80 : 165,955.80 = 54,466.40 : x
  2. Step 2: Convert to fraction form
    110,712.80/165,955.80 = 54,466.40/x
  3. Step 3: Cross multiply
    110,712.80x = 165,955.80 × 54,466.40
  4. Step 4: Simplify right side
    110,712.80x = 9,039,014,985.12
  5. Step 5: Solve for x
    x = 9,039,014,985.12/110,712.80
  6. Step 6: Final answer
    x = 81,643.81

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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.