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Finding the Fourth Proportional to 110,566.57, 165,802.47 and 51,396.07

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Solution

The fourth proportional to 110,566.57, 165,802.47 and 51,396.07 is: 77,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,566.57 : 165,802.47 = 51,396.07 : x
  2. Step 2: Convert to fraction form
    110,566.57/165,802.47 = 51,396.07/x
  3. Step 3: Cross multiply
    110,566.57x = 165,802.47 × 51,396.07
  4. Step 4: Simplify right side
    110,566.57x = 8,521,595,354.29
  5. Step 5: Solve for x
    x = 8,521,595,354.29/110,566.57
  6. Step 6: Final answer
    x = 77,072.08

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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.