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Finding the Fourth Proportional to 34,009.60, 51,021.60 and 10,315.20

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Solution

The fourth proportional to 34,009.60, 51,021.60 and 10,315.20 is: 15,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.60 : 51,021.60 = 10,315.20 : x
  2. Step 2: Convert to fraction form
    34,009.60/51,021.60 = 10,315.20/x
  3. Step 3: Cross multiply
    34,009.60x = 51,021.60 × 10,315.20
  4. Step 4: Simplify right side
    34,009.60x = 526,298,008.32
  5. Step 5: Solve for x
    x = 526,298,008.32/34,009.60
  6. Step 6: Final answer
    x = 15,474.98

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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.