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Finding the Fourth Proportional to 34,070.34, 51,113.72 and 10,696.76

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Solution

The fourth proportional to 34,070.34, 51,113.72 and 10,696.76 is: 16,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,070.34 : 51,113.72 = 10,696.76 : x
  2. Step 2: Convert to fraction form
    34,070.34/51,113.72 = 10,696.76/x
  3. Step 3: Cross multiply
    34,070.34x = 51,113.72 × 10,696.76
  4. Step 4: Simplify right side
    34,070.34x = 546,751,195.55
  5. Step 5: Solve for x
    x = 546,751,195.55/34,070.34
  6. Step 6: Final answer
    x = 16,047.72

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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.