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Finding the Fourth Proportional to 30,602.40, 42,257.88 and 29,027.76

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Solution

The fourth proportional to 30,602.40, 42,257.88 and 29,027.76 is: 40,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.40 : 42,257.88 = 29,027.76 : x
  2. Step 2: Convert to fraction form
    30,602.40/42,257.88 = 29,027.76/x
  3. Step 3: Cross multiply
    30,602.40x = 42,257.88 × 29,027.76
  4. Step 4: Simplify right side
    30,602.40x = 1,226,651,598.75
  5. Step 5: Solve for x
    x = 1,226,651,598.75/30,602.40
  6. Step 6: Final answer
    x = 40,083.51

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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.