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Finding the Fourth Proportional to 66,701.60, 100,271.10 and 47,115.80

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Solution

The fourth proportional to 66,701.60, 100,271.10 and 47,115.80 is: 70,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,701.60 : 100,271.10 = 47,115.80 : x
  2. Step 2: Convert to fraction form
    66,701.60/100,271.10 = 47,115.80/x
  3. Step 3: Cross multiply
    66,701.60x = 100,271.10 × 47,115.80
  4. Step 4: Simplify right side
    66,701.60x = 4,724,353,093.38
  5. Step 5: Solve for x
    x = 4,724,353,093.38/66,701.60
  6. Step 6: Final answer
    x = 70,828.18

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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.