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Finding the Fourth Proportional to 84,857.45, 127,237.50 and 34,971.98

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Solution

The fourth proportional to 84,857.45, 127,237.50 and 34,971.98 is: 52,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,857.45 : 127,237.50 = 34,971.98 : x
  2. Step 2: Convert to fraction form
    84,857.45/127,237.50 = 34,971.98/x
  3. Step 3: Cross multiply
    84,857.45x = 127,237.50 × 34,971.98
  4. Step 4: Simplify right side
    84,857.45x = 4,449,746,669.06
  5. Step 5: Solve for x
    x = 4,449,746,669.06/84,857.45
  6. Step 6: Final answer
    x = 52,437.91

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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.