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Finding the Fourth Proportional to 123,653.93, 185,492.63 and 33,697.76

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Solution

The fourth proportional to 123,653.93, 185,492.63 and 33,697.76 is: 50,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,653.93 : 185,492.63 = 33,697.76 : x
  2. Step 2: Convert to fraction form
    123,653.93/185,492.63 = 33,697.76/x
  3. Step 3: Cross multiply
    123,653.93x = 185,492.63 × 33,697.76
  4. Step 4: Simplify right side
    123,653.93x = 6,250,685,284.29
  5. Step 5: Solve for x
    x = 6,250,685,284.29/123,653.93
  6. Step 6: Final answer
    x = 50,549.83

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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.