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Finding the Fourth Proportional to 47,284.72, 65,254.80 and 26,065.60

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Solution

The fourth proportional to 47,284.72, 65,254.80 and 26,065.60 is: 35,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,284.72 : 65,254.80 = 26,065.60 : x
  2. Step 2: Convert to fraction form
    47,284.72/65,254.80 = 26,065.60/x
  3. Step 3: Cross multiply
    47,284.72x = 65,254.80 × 26,065.60
  4. Step 4: Simplify right side
    47,284.72x = 1,700,905,514.88
  5. Step 5: Solve for x
    x = 1,700,905,514.88/47,284.72
  6. Step 6: Final answer
    x = 35,971.57

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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.