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Finding the Fourth Proportional to 34,870, 52,328.04 and 16,403.44

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Solution

The fourth proportional to 34,870, 52,328.04 and 16,403.44 is: 24,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,870 : 52,328.04 = 16,403.44 : x
  2. Step 2: Convert to fraction form
    34,870/52,328.04 = 16,403.44/x
  3. Step 3: Cross multiply
    34,870x = 52,328.04 × 16,403.44
  4. Step 4: Simplify right side
    34,870x = 858,359,864.46
  5. Step 5: Solve for x
    x = 858,359,864.46/34,870
  6. Step 6: Final answer
    x = 24,616.00

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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.