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Finding the Fourth Proportional to 34,098.60, 51,146.70 and 10,405.19

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Solution

The fourth proportional to 34,098.60, 51,146.70 and 10,405.19 is: 15,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.60 : 51,146.70 = 10,405.19 : x
  2. Step 2: Convert to fraction form
    34,098.60/51,146.70 = 10,405.19/x
  3. Step 3: Cross multiply
    34,098.60x = 51,146.70 × 10,405.19
  4. Step 4: Simplify right side
    34,098.60x = 532,190,875.64
  5. Step 5: Solve for x
    x = 532,190,875.64/34,098.60
  6. Step 6: Final answer
    x = 15,607.41

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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.