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Finding the Fourth Proportional to 34,965.80, 52,448.70 and 16,245.80

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Solution

The fourth proportional to 34,965.80, 52,448.70 and 16,245.80 is: 24,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,965.80 : 52,448.70 = 16,245.80 : x
  2. Step 2: Convert to fraction form
    34,965.80/52,448.70 = 16,245.80/x
  3. Step 3: Cross multiply
    34,965.80x = 52,448.70 × 16,245.80
  4. Step 4: Simplify right side
    34,965.80x = 852,071,090.46
  5. Step 5: Solve for x
    x = 852,071,090.46/34,965.80
  6. Step 6: Final answer
    x = 24,368.70

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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.