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Finding the Fourth Proportional to 34,024.80, 51,056.88 and 14,301.60

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Solution

The fourth proportional to 34,024.80, 51,056.88 and 14,301.60 is: 21,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024.80 : 51,056.88 = 14,301.60 : x
  2. Step 2: Convert to fraction form
    34,024.80/51,056.88 = 14,301.60/x
  3. Step 3: Cross multiply
    34,024.80x = 51,056.88 × 14,301.60
  4. Step 4: Simplify right side
    34,024.80x = 730,195,075.01
  5. Step 5: Solve for x
    x = 730,195,075.01/34,024.80
  6. Step 6: Final answer
    x = 21,460.67

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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.