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Finding the Fourth Proportional to 122,948.40, 184,406.44 and 38,709

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Solution

The fourth proportional to 122,948.40, 184,406.44 and 38,709 is: 58,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,948.40 : 184,406.44 = 38,709 : x
  2. Step 2: Convert to fraction form
    122,948.40/184,406.44 = 38,709/x
  3. Step 3: Cross multiply
    122,948.40x = 184,406.44 × 38,709
  4. Step 4: Simplify right side
    122,948.40x = 7,138,188,885.96
  5. Step 5: Solve for x
    x = 7,138,188,885.96/122,948.40
  6. Step 6: Final answer
    x = 58,058.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.