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Finding the Fourth Proportional to 86,114.13, 129,171.19 and 23,784.63

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Solution

The fourth proportional to 86,114.13, 129,171.19 and 23,784.63 is: 35,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,114.13 : 129,171.19 = 23,784.63 : x
  2. Step 2: Convert to fraction form
    86,114.13/129,171.19 = 23,784.63/x
  3. Step 3: Cross multiply
    86,114.13x = 129,171.19 × 23,784.63
  4. Step 4: Simplify right side
    86,114.13x = 3,072,288,960.81
  5. Step 5: Solve for x
    x = 3,072,288,960.81/86,114.13
  6. Step 6: Final answer
    x = 35,676.94

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1.5x scale

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.