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Finding the Fourth Proportional to 70,775.46, 106,075.71 and 35,725.14

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Solution

The fourth proportional to 70,775.46, 106,075.71 and 35,725.14 is: 53,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,775.46 : 106,075.71 = 35,725.14 : x
  2. Step 2: Convert to fraction form
    70,775.46/106,075.71 = 35,725.14/x
  3. Step 3: Cross multiply
    70,775.46x = 106,075.71 × 35,725.14
  4. Step 4: Simplify right side
    70,775.46x = 3,789,569,590.35
  5. Step 5: Solve for x
    x = 3,789,569,590.35/70,775.46
  6. Step 6: Final answer
    x = 53,543.55

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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.