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Finding the Fourth Proportional to 78,725.80, 118,088.70 and 32,012.20

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Solution

The fourth proportional to 78,725.80, 118,088.70 and 32,012.20 is: 48,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,725.80 : 118,088.70 = 32,012.20 : x
  2. Step 2: Convert to fraction form
    78,725.80/118,088.70 = 32,012.20/x
  3. Step 3: Cross multiply
    78,725.80x = 118,088.70 × 32,012.20
  4. Step 4: Simplify right side
    78,725.80x = 3,780,279,082.14
  5. Step 5: Solve for x
    x = 3,780,279,082.14/78,725.80
  6. Step 6: Final answer
    x = 48,018.30

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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.