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Finding the Fourth Proportional to 47,291.35, 65,262.50 and 26,071.38

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Solution

The fourth proportional to 47,291.35, 65,262.50 and 26,071.38 is: 35,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,291.35 : 65,262.50 = 26,071.38 : x
  2. Step 2: Convert to fraction form
    47,291.35/65,262.50 = 26,071.38/x
  3. Step 3: Cross multiply
    47,291.35x = 65,262.50 × 26,071.38
  4. Step 4: Simplify right side
    47,291.35x = 1,701,483,110.94
  5. Step 5: Solve for x
    x = 1,701,483,110.94/47,291.35
  6. Step 6: Final answer
    x = 35,978.74

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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.