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Finding the Fourth Proportional to 110,585.80, 165,846.30 and 51,407.20

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Solution

The fourth proportional to 110,585.80, 165,846.30 and 51,407.20 is: 77,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,585.80 : 165,846.30 = 51,407.20 : x
  2. Step 2: Convert to fraction form
    110,585.80/165,846.30 = 51,407.20/x
  3. Step 3: Cross multiply
    110,585.80x = 165,846.30 × 51,407.20
  4. Step 4: Simplify right side
    110,585.80x = 8,525,693,913.36
  5. Step 5: Solve for x
    x = 8,525,693,913.36/110,585.80
  6. Step 6: Final answer
    x = 77,095.74

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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.