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Finding the Fourth Proportional to 34,312.98, 51,477.80 and 10,939.40

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Solution

The fourth proportional to 34,312.98, 51,477.80 and 10,939.40 is: 16,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312.98 : 51,477.80 = 10,939.40 : x
  2. Step 2: Convert to fraction form
    34,312.98/51,477.80 = 10,939.40/x
  3. Step 3: Cross multiply
    34,312.98x = 51,477.80 × 10,939.40
  4. Step 4: Simplify right side
    34,312.98x = 563,135,933.23
  5. Step 5: Solve for x
    x = 563,135,933.23/34,312.98
  6. Step 6: Final answer
    x = 16,411.75

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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.