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Finding the Fourth Proportional to 70,817.90, 106,292.46 and 35,782.16

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Solution

The fourth proportional to 70,817.90, 106,292.46 and 35,782.16 is: 53,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.90 : 106,292.46 = 35,782.16 : x
  2. Step 2: Convert to fraction form
    70,817.90/106,292.46 = 35,782.16/x
  3. Step 3: Cross multiply
    70,817.90x = 106,292.46 × 35,782.16
  4. Step 4: Simplify right side
    70,817.90x = 3,803,373,810.51
  5. Step 5: Solve for x
    x = 3,803,373,810.51/70,817.90
  6. Step 6: Final answer
    x = 53,706.39

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1.5x scale

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.