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Finding the Fourth Proportional to 35,434.50, 48,895.54 and 20,323

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Solution

The fourth proportional to 35,434.50, 48,895.54 and 20,323 is: 28,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,434.50 : 48,895.54 = 20,323 : x
  2. Step 2: Convert to fraction form
    35,434.50/48,895.54 = 20,323/x
  3. Step 3: Cross multiply
    35,434.50x = 48,895.54 × 20,323
  4. Step 4: Simplify right side
    35,434.50x = 993,704,059.42
  5. Step 5: Solve for x
    x = 993,704,059.42/35,434.50
  6. Step 6: Final answer
    x = 28,043.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.