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Finding the Fourth Proportional to 34,701, 52,047.63 and 9,742.02

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Solution

The fourth proportional to 34,701, 52,047.63 and 9,742.02 is: 14,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701 : 52,047.63 = 9,742.02 : x
  2. Step 2: Convert to fraction form
    34,701/52,047.63 = 9,742.02/x
  3. Step 3: Cross multiply
    34,701x = 52,047.63 × 9,742.02
  4. Step 4: Simplify right side
    34,701x = 507,049,052.41
  5. Step 5: Solve for x
    x = 507,049,052.41/34,701
  6. Step 6: Final answer
    x = 14,611.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.