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Finding the Fourth Proportional to 29,698.92, 40,984.51 and 17,762.26

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Solution

The fourth proportional to 29,698.92, 40,984.51 and 17,762.26 is: 24,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.92 : 40,984.51 = 17,762.26 : x
  2. Step 2: Convert to fraction form
    29,698.92/40,984.51 = 17,762.26/x
  3. Step 3: Cross multiply
    29,698.92x = 40,984.51 × 17,762.26
  4. Step 4: Simplify right side
    29,698.92x = 727,977,522.59
  5. Step 5: Solve for x
    x = 727,977,522.59/29,698.92
  6. Step 6: Final answer
    x = 24,511.92

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1.5x scale

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.