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Finding the Fourth Proportional to 53,011.68, 73,170 and 32,857.08

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Solution

The fourth proportional to 53,011.68, 73,170 and 32,857.08 is: 45,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,011.68 : 73,170 = 32,857.08 : x
  2. Step 2: Convert to fraction form
    53,011.68/73,170 = 32,857.08/x
  3. Step 3: Cross multiply
    53,011.68x = 73,170 × 32,857.08
  4. Step 4: Simplify right side
    53,011.68x = 2,404,152,543.60
  5. Step 5: Solve for x
    x = 2,404,152,543.60/53,011.68
  6. Step 6: Final answer
    x = 45,351.37

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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.