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Finding the Fourth Proportional to 70,813.52, 106,285.92 and 35,777.84

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Solution

The fourth proportional to 70,813.52, 106,285.92 and 35,777.84 is: 53,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,813.52 : 106,285.92 = 35,777.84 : x
  2. Step 2: Convert to fraction form
    70,813.52/106,285.92 = 35,777.84/x
  3. Step 3: Cross multiply
    70,813.52x = 106,285.92 × 35,777.84
  4. Step 4: Simplify right side
    70,813.52x = 3,802,680,640.01
  5. Step 5: Solve for x
    x = 3,802,680,640.01/70,813.52
  6. Step 6: Final answer
    x = 53,699.92

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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.