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Finding the Fourth Proportional to 65,080.60, 97,676.32 and 46,406.39

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Solution

The fourth proportional to 65,080.60, 97,676.32 and 46,406.39 is: 69,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,080.60 : 97,676.32 = 46,406.39 : x
  2. Step 2: Convert to fraction form
    65,080.60/97,676.32 = 46,406.39/x
  3. Step 3: Cross multiply
    65,080.60x = 97,676.32 × 46,406.39
  4. Step 4: Simplify right side
    65,080.60x = 4,532,805,399.68
  5. Step 5: Solve for x
    x = 4,532,805,399.68/65,080.60
  6. Step 6: Final answer
    x = 69,649.10

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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.