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Finding the Fourth Proportional to 51,948.70, 71,689.54 and 28,075.32

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Solution

The fourth proportional to 51,948.70, 71,689.54 and 28,075.32 is: 38,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948.70 : 71,689.54 = 28,075.32 : x
  2. Step 2: Convert to fraction form
    51,948.70/71,689.54 = 28,075.32/x
  3. Step 3: Cross multiply
    51,948.70x = 71,689.54 × 28,075.32
  4. Step 4: Simplify right side
    51,948.70x = 2,012,706,705.96
  5. Step 5: Solve for x
    x = 2,012,706,705.96/51,948.70
  6. Step 6: Final answer
    x = 38,744.12

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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.