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Finding the Fourth Proportional to 30,349.75, 45,503.87 and 13,700.70

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Solution

The fourth proportional to 30,349.75, 45,503.87 and 13,700.70 is: 20,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,349.75 : 45,503.87 = 13,700.70 : x
  2. Step 2: Convert to fraction form
    30,349.75/45,503.87 = 13,700.70/x
  3. Step 3: Cross multiply
    30,349.75x = 45,503.87 × 13,700.70
  4. Step 4: Simplify right side
    30,349.75x = 623,434,859.28
  5. Step 5: Solve for x
    x = 623,434,859.28/30,349.75
  6. Step 6: Final answer
    x = 20,541.68

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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.