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Finding the Fourth Proportional to 47,291, 65,262.03 and 26,071.02

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Solution

The fourth proportional to 47,291, 65,262.03 and 26,071.02 is: 35,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,291 : 65,262.03 = 26,071.02 : x
  2. Step 2: Convert to fraction form
    47,291/65,262.03 = 26,071.02/x
  3. Step 3: Cross multiply
    47,291x = 65,262.03 × 26,071.02
  4. Step 4: Simplify right side
    47,291x = 1,701,447,689.37
  5. Step 5: Solve for x
    x = 1,701,447,689.37/47,291
  6. Step 6: Final answer
    x = 35,978.26

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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.