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Finding the Fourth Proportional to 85,482.14, 128,144.80 and 32,851.98

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Solution

The fourth proportional to 85,482.14, 128,144.80 and 32,851.98 is: 49,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,482.14 : 128,144.80 = 32,851.98 : x
  2. Step 2: Convert to fraction form
    85,482.14/128,144.80 = 32,851.98/x
  3. Step 3: Cross multiply
    85,482.14x = 128,144.80 × 32,851.98
  4. Step 4: Simplify right side
    85,482.14x = 4,209,810,447.77
  5. Step 5: Solve for x
    x = 4,209,810,447.77/85,482.14
  6. Step 6: Final answer
    x = 49,247.84

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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.