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Finding the Fourth Proportional to 30,898.92, 42,639.36 and 16,751.46

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Solution

The fourth proportional to 30,898.92, 42,639.36 and 16,751.46 is: 23,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.92 : 42,639.36 = 16,751.46 : x
  2. Step 2: Convert to fraction form
    30,898.92/42,639.36 = 16,751.46/x
  3. Step 3: Cross multiply
    30,898.92x = 42,639.36 × 16,751.46
  4. Step 4: Simplify right side
    30,898.92x = 714,271,533.47
  5. Step 5: Solve for x
    x = 714,271,533.47/30,898.92
  6. Step 6: Final answer
    x = 23,116.39

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Why These Related Problems?

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