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Finding the Fourth Proportional to 34,706.75, 52,053.84 and 9,740.66

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Solution

The fourth proportional to 34,706.75, 52,053.84 and 9,740.66 is: 14,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.75 : 52,053.84 = 9,740.66 : x
  2. Step 2: Convert to fraction form
    34,706.75/52,053.84 = 9,740.66/x
  3. Step 3: Cross multiply
    34,706.75x = 52,053.84 × 9,740.66
  4. Step 4: Simplify right side
    34,706.75x = 507,038,496.87
  5. Step 5: Solve for x
    x = 507,038,496.87/34,706.75
  6. Step 6: Final answer
    x = 14,609.22

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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.