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Finding the Fourth Proportional to 77,544, 116,316 and 22,140

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Solution

The fourth proportional to 77,544, 116,316 and 22,140 is: 33,210

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,544 : 116,316 = 22,140 : x
  2. Step 2: Convert to fraction form
    77,544/116,316 = 22,140/x
  3. Step 3: Cross multiply
    77,544x = 116,316 × 22,140
  4. Step 4: Simplify right side
    77,544x = 2,575,236,240
  5. Step 5: Solve for x
    x = 2,575,236,240/77,544
  6. Step 6: Final answer
    x = 33,210

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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.