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Finding the Fourth Proportional to 110,070.78, 165,064.24 and 46,851

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Solution

The fourth proportional to 110,070.78, 165,064.24 and 46,851 is: 70,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,070.78 : 165,064.24 = 46,851 : x
  2. Step 2: Convert to fraction form
    110,070.78/165,064.24 = 46,851/x
  3. Step 3: Cross multiply
    110,070.78x = 165,064.24 × 46,851
  4. Step 4: Simplify right side
    110,070.78x = 7,733,424,708.24
  5. Step 5: Solve for x
    x = 7,733,424,708.24/110,070.78
  6. Step 6: Final answer
    x = 70,258.65

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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.