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Finding the Fourth Proportional to 58,729, 88,106.46 and 21,793

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Solution

The fourth proportional to 58,729, 88,106.46 and 21,793 is: 32,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,729 : 88,106.46 = 21,793 : x
  2. Step 2: Convert to fraction form
    58,729/88,106.46 = 21,793/x
  3. Step 3: Cross multiply
    58,729x = 88,106.46 × 21,793
  4. Step 4: Simplify right side
    58,729x = 1,920,104,082.78
  5. Step 5: Solve for x
    x = 1,920,104,082.78/58,729
  6. Step 6: Final answer
    x = 32,694.31

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Why These Related Problems?

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