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Finding the Fourth Proportional to 47,874.51, 71,762.76 and 21,597.75

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Solution

The fourth proportional to 47,874.51, 71,762.76 and 21,597.75 is: 32,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.51 : 71,762.76 = 21,597.75 : x
  2. Step 2: Convert to fraction form
    47,874.51/71,762.76 = 21,597.75/x
  3. Step 3: Cross multiply
    47,874.51x = 71,762.76 × 21,597.75
  4. Step 4: Simplify right side
    47,874.51x = 1,549,914,149.79
  5. Step 5: Solve for x
    x = 1,549,914,149.79/47,874.51
  6. Step 6: Final answer
    x = 32,374.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.