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Finding the Fourth Proportional to 47,323.14, 65,296.85 and 28,461.48

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Solution

The fourth proportional to 47,323.14, 65,296.85 and 28,461.48 is: 39,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,323.14 : 65,296.85 = 28,461.48 : x
  2. Step 2: Convert to fraction form
    47,323.14/65,296.85 = 28,461.48/x
  3. Step 3: Cross multiply
    47,323.14x = 65,296.85 × 28,461.48
  4. Step 4: Simplify right side
    47,323.14x = 1,858,444,848.03
  5. Step 5: Solve for x
    x = 1,858,444,848.03/47,323.14
  6. Step 6: Final answer
    x = 39,271.38

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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.