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Finding the Fourth Proportional to 70,553.84, 105,778.91 and 35,458.16

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Solution

The fourth proportional to 70,553.84, 105,778.91 and 35,458.16 is: 53,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,553.84 : 105,778.91 = 35,458.16 : x
  2. Step 2: Convert to fraction form
    70,553.84/105,778.91 = 35,458.16/x
  3. Step 3: Cross multiply
    70,553.84x = 105,778.91 × 35,458.16
  4. Step 4: Simplify right side
    70,553.84x = 3,750,725,075.16
  5. Step 5: Solve for x
    x = 3,750,725,075.16/70,553.84
  6. Step 6: Final answer
    x = 53,161.18

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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.