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Finding the Fourth Proportional to 46,909.65, 64,709.05 and 27,770.75

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Solution

The fourth proportional to 46,909.65, 64,709.05 and 27,770.75 is: 38,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,909.65 : 64,709.05 = 27,770.75 : x
  2. Step 2: Convert to fraction form
    46,909.65/64,709.05 = 27,770.75/x
  3. Step 3: Cross multiply
    46,909.65x = 64,709.05 × 27,770.75
  4. Step 4: Simplify right side
    46,909.65x = 1,797,018,830.15
  5. Step 5: Solve for x
    x = 1,797,018,830.15/46,909.65
  6. Step 6: Final answer
    x = 38,308.09

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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.