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Finding the Fourth Proportional to 34,005.40, 51,008.10 and 30,376.60

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Solution

The fourth proportional to 34,005.40, 51,008.10 and 30,376.60 is: 45,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.40 : 51,008.10 = 30,376.60 : x
  2. Step 2: Convert to fraction form
    34,005.40/51,008.10 = 30,376.60/x
  3. Step 3: Cross multiply
    34,005.40x = 51,008.10 × 30,376.60
  4. Step 4: Simplify right side
    34,005.40x = 1,549,452,650.46
  5. Step 5: Solve for x
    x = 1,549,452,650.46/34,005.40
  6. Step 6: Final answer
    x = 45,564.90

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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.