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Finding the Fourth Proportional to 34,700.75, 52,047.25 and 9,741.77

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Solution

The fourth proportional to 34,700.75, 52,047.25 and 9,741.77 is: 14,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700.75 : 52,047.25 = 9,741.77 : x
  2. Step 2: Convert to fraction form
    34,700.75/52,047.25 = 9,741.77/x
  3. Step 3: Cross multiply
    34,700.75x = 52,047.25 × 9,741.77
  4. Step 4: Simplify right side
    34,700.75x = 507,032,338.63
  5. Step 5: Solve for x
    x = 507,032,338.63/34,700.75
  6. Step 6: Final answer
    x = 14,611.57

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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.