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Finding the Fourth Proportional to 78,805.80, 118,106.10 and 32,004

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Solution

The fourth proportional to 78,805.80, 118,106.10 and 32,004 is: 47,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,805.80 : 118,106.10 = 32,004 : x
  2. Step 2: Convert to fraction form
    78,805.80/118,106.10 = 32,004/x
  3. Step 3: Cross multiply
    78,805.80x = 118,106.10 × 32,004
  4. Step 4: Simplify right side
    78,805.80x = 3,779,867,624.40
  5. Step 5: Solve for x
    x = 3,779,867,624.40/78,805.80
  6. Step 6: Final answer
    x = 47,964.33

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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.