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Finding the Fourth Proportional to 34,302.40, 51,431.70 and 14,570.80

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Solution

The fourth proportional to 34,302.40, 51,431.70 and 14,570.80 is: 21,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,302.40 : 51,431.70 = 14,570.80 : x
  2. Step 2: Convert to fraction form
    34,302.40/51,431.70 = 14,570.80/x
  3. Step 3: Cross multiply
    34,302.40x = 51,431.70 × 14,570.80
  4. Step 4: Simplify right side
    34,302.40x = 749,401,014.36
  5. Step 5: Solve for x
    x = 749,401,014.36/34,302.40
  6. Step 6: Final answer
    x = 21,846.90

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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.