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Finding the Fourth Proportional to 86,019.72, 129,015 and 33,430.20

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Solution

The fourth proportional to 86,019.72, 129,015 and 33,430.20 is: 50,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,019.72 : 129,015 = 33,430.20 : x
  2. Step 2: Convert to fraction form
    86,019.72/129,015 = 33,430.20/x
  3. Step 3: Cross multiply
    86,019.72x = 129,015 × 33,430.20
  4. Step 4: Simplify right side
    86,019.72x = 4,312,997,253
  5. Step 5: Solve for x
    x = 4,312,997,253/86,019.72
  6. Step 6: Final answer
    x = 50,139.63

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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.