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Finding the Fourth Proportional to 110,673.60, 165,983.40 and 31,779.60

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Solution

The fourth proportional to 110,673.60, 165,983.40 and 31,779.60 is: 47,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,673.60 : 165,983.40 = 31,779.60 : x
  2. Step 2: Convert to fraction form
    110,673.60/165,983.40 = 31,779.60/x
  3. Step 3: Cross multiply
    110,673.60x = 165,983.40 × 31,779.60
  4. Step 4: Simplify right side
    110,673.60x = 5,274,886,058.64
  5. Step 5: Solve for x
    x = 5,274,886,058.64/110,673.60
  6. Step 6: Final answer
    x = 47,661.65

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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.