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Finding the Fourth Proportional to 86,184, 129,283.56 and 23,855.04

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Solution

The fourth proportional to 86,184, 129,283.56 and 23,855.04 is: 35,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,184 : 129,283.56 = 23,855.04 : x
  2. Step 2: Convert to fraction form
    86,184/129,283.56 = 23,855.04/x
  3. Step 3: Cross multiply
    86,184x = 129,283.56 × 23,855.04
  4. Step 4: Simplify right side
    86,184x = 3,084,064,495.14
  5. Step 5: Solve for x
    x = 3,084,064,495.14/86,184
  6. Step 6: Final answer
    x = 35,784.65

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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.