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Finding the Fourth Proportional to 64,546.60, 96,807.10 and 31,266.60

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Solution

The fourth proportional to 64,546.60, 96,807.10 and 31,266.60 is: 46,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,546.60 : 96,807.10 = 31,266.60 : x
  2. Step 2: Convert to fraction form
    64,546.60/96,807.10 = 31,266.60/x
  3. Step 3: Cross multiply
    64,546.60x = 96,807.10 × 31,266.60
  4. Step 4: Simplify right side
    64,546.60x = 3,026,828,872.86
  5. Step 5: Solve for x
    x = 3,026,828,872.86/64,546.60
  6. Step 6: Final answer
    x = 46,893.70

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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.