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Finding the Fourth Proportional to 74,986.84, 112,516.91 and 32,861.17

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Solution

The fourth proportional to 74,986.84, 112,516.91 and 32,861.17 is: 49,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,986.84 : 112,516.91 = 32,861.17 : x
  2. Step 2: Convert to fraction form
    74,986.84/112,516.91 = 32,861.17/x
  3. Step 3: Cross multiply
    74,986.84x = 112,516.91 × 32,861.17
  4. Step 4: Simplify right side
    74,986.84x = 3,697,437,307.38
  5. Step 5: Solve for x
    x = 3,697,437,307.38/74,986.84
  6. Step 6: Final answer
    x = 49,307.82

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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.