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Finding the Fourth Proportional to 82,589.16, 123,883.74 and 35,841

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Solution

The fourth proportional to 82,589.16, 123,883.74 and 35,841 is: 53,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,589.16 : 123,883.74 = 35,841 : x
  2. Step 2: Convert to fraction form
    82,589.16/123,883.74 = 35,841/x
  3. Step 3: Cross multiply
    82,589.16x = 123,883.74 × 35,841
  4. Step 4: Simplify right side
    82,589.16x = 4,440,117,125.34
  5. Step 5: Solve for x
    x = 4,440,117,125.34/82,589.16
  6. Step 6: Final answer
    x = 53,761.50

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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.