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Finding the Fourth Proportional to 62,646.54, 86,354.04 and 47,478.48

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Solution

The fourth proportional to 62,646.54, 86,354.04 and 47,478.48 is: 65,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,646.54 : 86,354.04 = 47,478.48 : x
  2. Step 2: Convert to fraction form
    62,646.54/86,354.04 = 47,478.48/x
  3. Step 3: Cross multiply
    62,646.54x = 86,354.04 × 47,478.48
  4. Step 4: Simplify right side
    62,646.54x = 4,099,958,561.06
  5. Step 5: Solve for x
    x = 4,099,958,561.06/62,646.54
  6. Step 6: Final answer
    x = 65,445.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.