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Finding the Fourth Proportional to 47,319.81, 65,301.22 and 27,178

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Solution

The fourth proportional to 47,319.81, 65,301.22 and 27,178 is: 37,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,319.81 : 65,301.22 = 27,178 : x
  2. Step 2: Convert to fraction form
    47,319.81/65,301.22 = 27,178/x
  3. Step 3: Cross multiply
    47,319.81x = 65,301.22 × 27,178
  4. Step 4: Simplify right side
    47,319.81x = 1,774,756,557.16
  5. Step 5: Solve for x
    x = 1,774,756,557.16/47,319.81
  6. Step 6: Final answer
    x = 37,505.57

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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.