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Finding the Fourth Proportional to 35,434.86, 48,902.58 and 20,332.14

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Solution

The fourth proportional to 35,434.86, 48,902.58 and 20,332.14 is: 28,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,434.86 : 48,902.58 = 20,332.14 : x
  2. Step 2: Convert to fraction form
    35,434.86/48,902.58 = 20,332.14/x
  3. Step 3: Cross multiply
    35,434.86x = 48,902.58 × 20,332.14
  4. Step 4: Simplify right side
    35,434.86x = 994,294,102.92
  5. Step 5: Solve for x
    x = 994,294,102.92/35,434.86
  6. Step 6: Final answer
    x = 28,059.77

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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.