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Finding the Fourth Proportional to 56,164.04, 77,505.34 and 31,013

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Solution

The fourth proportional to 56,164.04, 77,505.34 and 31,013 is: 42,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164.04 : 77,505.34 = 31,013 : x
  2. Step 2: Convert to fraction form
    56,164.04/77,505.34 = 31,013/x
  3. Step 3: Cross multiply
    56,164.04x = 77,505.34 × 31,013
  4. Step 4: Simplify right side
    56,164.04x = 2,403,673,109.42
  5. Step 5: Solve for x
    x = 2,403,673,109.42/56,164.04
  6. Step 6: Final answer
    x = 42,797.37

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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.