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Finding the Fourth Proportional to 77,411, 116,136.01 and 22,007

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Solution

The fourth proportional to 77,411, 116,136.01 and 22,007 is: 33,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411 : 116,136.01 = 22,007 : x
  2. Step 2: Convert to fraction form
    77,411/116,136.01 = 22,007/x
  3. Step 3: Cross multiply
    77,411x = 116,136.01 × 22,007
  4. Step 4: Simplify right side
    77,411x = 2,555,805,172.07
  5. Step 5: Solve for x
    x = 2,555,805,172.07/77,411
  6. Step 6: Final answer
    x = 33,016.05

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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.