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Finding the Fourth Proportional to 53,860.34, 80,775.48 and 32,207.68

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Solution

The fourth proportional to 53,860.34, 80,775.48 and 32,207.68 is: 48,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,860.34 : 80,775.48 = 32,207.68 : x
  2. Step 2: Convert to fraction form
    53,860.34/80,775.48 = 32,207.68/x
  3. Step 3: Cross multiply
    53,860.34x = 80,775.48 × 32,207.68
  4. Step 4: Simplify right side
    53,860.34x = 2,601,590,397.90
  5. Step 5: Solve for x
    x = 2,601,590,397.90/53,860.34
  6. Step 6: Final answer
    x = 48,302.52

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