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Finding the Fourth Proportional to 106,670.36, 160,005.48 and 27,784.40

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Solution

The fourth proportional to 106,670.36, 160,005.48 and 27,784.40 is: 41,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,670.36 : 160,005.48 = 27,784.40 : x
  2. Step 2: Convert to fraction form
    106,670.36/160,005.48 = 27,784.40/x
  3. Step 3: Cross multiply
    106,670.36x = 160,005.48 × 27,784.40
  4. Step 4: Simplify right side
    106,670.36x = 4,445,656,258.51
  5. Step 5: Solve for x
    x = 4,445,656,258.51/106,670.36
  6. Step 6: Final answer
    x = 41,676.58

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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.