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Finding the Fourth Proportional to 34,047.14, 51,070.72 and 10,675.40

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Solution

The fourth proportional to 34,047.14, 51,070.72 and 10,675.40 is: 16,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.14 : 51,070.72 = 10,675.40 : x
  2. Step 2: Convert to fraction form
    34,047.14/51,070.72 = 10,675.40/x
  3. Step 3: Cross multiply
    34,047.14x = 51,070.72 × 10,675.40
  4. Step 4: Simplify right side
    34,047.14x = 545,200,364.29
  5. Step 5: Solve for x
    x = 545,200,364.29/34,047.14
  6. Step 6: Final answer
    x = 16,013.10

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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.