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Finding the Fourth Proportional to 62,305.84, 85,980.72 and 34,012

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Solution

The fourth proportional to 62,305.84, 85,980.72 and 34,012 is: 46,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,305.84 : 85,980.72 = 34,012 : x
  2. Step 2: Convert to fraction form
    62,305.84/85,980.72 = 34,012/x
  3. Step 3: Cross multiply
    62,305.84x = 85,980.72 × 34,012
  4. Step 4: Simplify right side
    62,305.84x = 2,924,376,248.64
  5. Step 5: Solve for x
    x = 2,924,376,248.64/62,305.84
  6. Step 6: Final answer
    x = 46,935.83

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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.