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Finding the Fourth Proportional to 32,978.19, 45,512.16 and 18,633.06

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Solution

The fourth proportional to 32,978.19, 45,512.16 and 18,633.06 is: 25,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.19 : 45,512.16 = 18,633.06 : x
  2. Step 2: Convert to fraction form
    32,978.19/45,512.16 = 18,633.06/x
  3. Step 3: Cross multiply
    32,978.19x = 45,512.16 × 18,633.06
  4. Step 4: Simplify right side
    32,978.19x = 848,030,808.01
  5. Step 5: Solve for x
    x = 848,030,808.01/32,978.19
  6. Step 6: Final answer
    x = 25,714.90

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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.