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Finding the Fourth Proportional to 86,455.42, 119,308.38 and 46,711.42

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Solution

The fourth proportional to 86,455.42, 119,308.38 and 46,711.42 is: 64,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,455.42 : 119,308.38 = 46,711.42 : x
  2. Step 2: Convert to fraction form
    86,455.42/119,308.38 = 46,711.42/x
  3. Step 3: Cross multiply
    86,455.42x = 119,308.38 × 46,711.42
  4. Step 4: Simplify right side
    86,455.42x = 5,573,063,847.70
  5. Step 5: Solve for x
    x = 5,573,063,847.70/86,455.42
  6. Step 6: Final answer
    x = 64,461.71

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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.