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Finding the Fourth Proportional to 32,857.12, 45,342.48 and 17,953.12

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Solution

The fourth proportional to 32,857.12, 45,342.48 and 17,953.12 is: 24,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.12 : 45,342.48 = 17,953.12 : x
  2. Step 2: Convert to fraction form
    32,857.12/45,342.48 = 17,953.12/x
  3. Step 3: Cross multiply
    32,857.12x = 45,342.48 × 17,953.12
  4. Step 4: Simplify right side
    32,857.12x = 814,038,984.54
  5. Step 5: Solve for x
    x = 814,038,984.54/32,857.12
  6. Step 6: Final answer
    x = 24,775.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.