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Finding the Fourth Proportional to 92,307.29, 127,384.18 and 49,865.82

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Solution

The fourth proportional to 92,307.29, 127,384.18 and 49,865.82 is: 68,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,307.29 : 127,384.18 = 49,865.82 : x
  2. Step 2: Convert to fraction form
    92,307.29/127,384.18 = 49,865.82/x
  3. Step 3: Cross multiply
    92,307.29x = 127,384.18 × 49,865.82
  4. Step 4: Simplify right side
    92,307.29x = 6,352,115,988.37
  5. Step 5: Solve for x
    x = 6,352,115,988.37/92,307.29
  6. Step 6: Final answer
    x = 68,814.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.