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Finding the Fourth Proportional to 40,362.80, 55,630.68 and 38,030

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Solution

The fourth proportional to 40,362.80, 55,630.68 and 38,030 is: 52,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,362.80 : 55,630.68 = 38,030 : x
  2. Step 2: Convert to fraction form
    40,362.80/55,630.68 = 38,030/x
  3. Step 3: Cross multiply
    40,362.80x = 55,630.68 × 38,030
  4. Step 4: Simplify right side
    40,362.80x = 2,115,634,760.40
  5. Step 5: Solve for x
    x = 2,115,634,760.40/40,362.80
  6. Step 6: Final answer
    x = 52,415.46

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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.