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Finding the Fourth Proportional to 65,307.63, 97,961.46 and 43,115.82

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Solution

The fourth proportional to 65,307.63, 97,961.46 and 43,115.82 is: 64,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,307.63 : 97,961.46 = 43,115.82 : x
  2. Step 2: Convert to fraction form
    65,307.63/97,961.46 = 43,115.82/x
  3. Step 3: Cross multiply
    65,307.63x = 97,961.46 × 43,115.82
  4. Step 4: Simplify right side
    65,307.63x = 4,223,688,676.30
  5. Step 5: Solve for x
    x = 4,223,688,676.30/65,307.63
  6. Step 6: Final answer
    x = 64,673.74

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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.