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Finding the Fourth Proportional to 30,905.10, 46,357.65 and 16,908.30

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Solution

The fourth proportional to 30,905.10, 46,357.65 and 16,908.30 is: 25,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.10 : 46,357.65 = 16,908.30 : x
  2. Step 2: Convert to fraction form
    30,905.10/46,357.65 = 16,908.30/x
  3. Step 3: Cross multiply
    30,905.10x = 46,357.65 × 16,908.30
  4. Step 4: Simplify right side
    30,905.10x = 783,829,053.50
  5. Step 5: Solve for x
    x = 783,829,053.50/30,905.10
  6. Step 6: Final answer
    x = 25,362.45

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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.