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Finding the Fourth Proportional to 57,164.40, 78,886.80 and 32,014.08

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Solution

The fourth proportional to 57,164.40, 78,886.80 and 32,014.08 is: 44,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,164.40 : 78,886.80 = 32,014.08 : x
  2. Step 2: Convert to fraction form
    57,164.40/78,886.80 = 32,014.08/x
  3. Step 3: Cross multiply
    57,164.40x = 78,886.80 × 32,014.08
  4. Step 4: Simplify right side
    57,164.40x = 2,525,488,326.14
  5. Step 5: Solve for x
    x = 2,525,488,326.14/57,164.40
  6. Step 6: Final answer
    x = 44,179.39

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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.