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Finding the Fourth Proportional to 30,695.38, 46,052.80 and 10,973.50

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Solution

The fourth proportional to 30,695.38, 46,052.80 and 10,973.50 is: 16,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.38 : 46,052.80 = 10,973.50 : x
  2. Step 2: Convert to fraction form
    30,695.38/46,052.80 = 10,973.50/x
  3. Step 3: Cross multiply
    30,695.38x = 46,052.80 × 10,973.50
  4. Step 4: Simplify right side
    30,695.38x = 505,360,400.80
  5. Step 5: Solve for x
    x = 505,360,400.80/30,695.38
  6. Step 6: Final answer
    x = 16,463.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.