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Finding the Fourth Proportional to 30,509.70, 45,768.26 and 10,784.22

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Solution

The fourth proportional to 30,509.70, 45,768.26 and 10,784.22 is: 16,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.70 : 45,768.26 = 10,784.22 : x
  2. Step 2: Convert to fraction form
    30,509.70/45,768.26 = 10,784.22/x
  3. Step 3: Cross multiply
    30,509.70x = 45,768.26 × 10,784.22
  4. Step 4: Simplify right side
    30,509.70x = 493,574,984.86
  5. Step 5: Solve for x
    x = 493,574,984.86/30,509.70
  6. Step 6: Final answer
    x = 16,177.64

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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.