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Finding the Fourth Proportional to 78,212.44, 107,933.70 and 42,403

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Solution

The fourth proportional to 78,212.44, 107,933.70 and 42,403 is: 58,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,212.44 : 107,933.70 = 42,403 : x
  2. Step 2: Convert to fraction form
    78,212.44/107,933.70 = 42,403/x
  3. Step 3: Cross multiply
    78,212.44x = 107,933.70 × 42,403
  4. Step 4: Simplify right side
    78,212.44x = 4,576,712,681.10
  5. Step 5: Solve for x
    x = 4,576,712,681.10/78,212.44
  6. Step 6: Final answer
    x = 58,516.43

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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.