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Finding the Fourth Proportional to 64,196.52, 96,280.54 and 46,674.60

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Solution

The fourth proportional to 64,196.52, 96,280.54 and 46,674.60 is: 70,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196.52 : 96,280.54 = 46,674.60 : x
  2. Step 2: Convert to fraction form
    64,196.52/96,280.54 = 46,674.60/x
  3. Step 3: Cross multiply
    64,196.52x = 96,280.54 × 46,674.60
  4. Step 4: Simplify right side
    64,196.52x = 4,493,855,692.28
  5. Step 5: Solve for x
    x = 4,493,855,692.28/64,196.52
  6. Step 6: Final answer
    x = 70,001.55

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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.