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Finding the Fourth Proportional to 52,084.67, 78,103.67 and 31,034.66

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Solution

The fourth proportional to 52,084.67, 78,103.67 and 31,034.66 is: 46,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084.67 : 78,103.67 = 31,034.66 : x
  2. Step 2: Convert to fraction form
    52,084.67/78,103.67 = 31,034.66/x
  3. Step 3: Cross multiply
    52,084.67x = 78,103.67 × 31,034.66
  4. Step 4: Simplify right side
    52,084.67x = 2,423,920,297.51
  5. Step 5: Solve for x
    x = 2,423,920,297.51/52,084.67
  6. Step 6: Final answer
    x = 46,538.08

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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.