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Finding the Fourth Proportional to 30,693.80, 46,034.04 and 10,973.72

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Solution

The fourth proportional to 30,693.80, 46,034.04 and 10,973.72 is: 16,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.80 : 46,034.04 = 10,973.72 : x
  2. Step 2: Convert to fraction form
    30,693.80/46,034.04 = 10,973.72/x
  3. Step 3: Cross multiply
    30,693.80x = 46,034.04 × 10,973.72
  4. Step 4: Simplify right side
    30,693.80x = 505,164,665.43
  5. Step 5: Solve for x
    x = 505,164,665.43/30,693.80
  6. Step 6: Final answer
    x = 16,458.20

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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.