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Finding the Fourth Proportional to 58,682, 88,023.72 and 21,746

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Solution

The fourth proportional to 58,682, 88,023.72 and 21,746 is: 32,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,682 : 88,023.72 = 21,746 : x
  2. Step 2: Convert to fraction form
    58,682/88,023.72 = 21,746/x
  3. Step 3: Cross multiply
    58,682x = 88,023.72 × 21,746
  4. Step 4: Simplify right side
    58,682x = 1,914,163,815.12
  5. Step 5: Solve for x
    x = 1,914,163,815.12/58,682
  6. Step 6: Final answer
    x = 32,619.27

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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.