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Finding the Fourth Proportional to 78,012.07, 107,656.56 and 42,202

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Solution

The fourth proportional to 78,012.07, 107,656.56 and 42,202 is: 58,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.07 : 107,656.56 = 42,202 : x
  2. Step 2: Convert to fraction form
    78,012.07/107,656.56 = 42,202/x
  3. Step 3: Cross multiply
    78,012.07x = 107,656.56 × 42,202
  4. Step 4: Simplify right side
    78,012.07x = 4,543,322,145.12
  5. Step 5: Solve for x
    x = 4,543,322,145.12/78,012.07
  6. Step 6: Final answer
    x = 58,238.71

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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.