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Finding the Fourth Proportional to 46,855, 70,282.57 and 19,153

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Solution

The fourth proportional to 46,855, 70,282.57 and 19,153 is: 28,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,855 : 70,282.57 = 19,153 : x
  2. Step 2: Convert to fraction form
    46,855/70,282.57 = 19,153/x
  3. Step 3: Cross multiply
    46,855x = 70,282.57 × 19,153
  4. Step 4: Simplify right side
    46,855x = 1,346,122,063.21
  5. Step 5: Solve for x
    x = 1,346,122,063.21/46,855
  6. Step 6: Final answer
    x = 28,729.53

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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.