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Finding the Fourth Proportional to 61,844, 92,643.12 and 30,583.84

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Solution

The fourth proportional to 61,844, 92,643.12 and 30,583.84 is: 45,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,844 : 92,643.12 = 30,583.84 : x
  2. Step 2: Convert to fraction form
    61,844/92,643.12 = 30,583.84/x
  3. Step 3: Cross multiply
    61,844x = 92,643.12 × 30,583.84
  4. Step 4: Simplify right side
    61,844x = 2,833,382,359.18
  5. Step 5: Solve for x
    x = 2,833,382,359.18/61,844
  6. Step 6: Final answer
    x = 45,814.99

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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.