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Finding the Fourth Proportional to 76,835, 106,032.30 and 43,302.20

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Solution

The fourth proportional to 76,835, 106,032.30 and 43,302.20 is: 59,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,835 : 106,032.30 = 43,302.20 : x
  2. Step 2: Convert to fraction form
    76,835/106,032.30 = 43,302.20/x
  3. Step 3: Cross multiply
    76,835x = 106,032.30 × 43,302.20
  4. Step 4: Simplify right side
    76,835x = 4,591,431,861.06
  5. Step 5: Solve for x
    x = 4,591,431,861.06/76,835
  6. Step 6: Final answer
    x = 59,757.04

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1.5x scale

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.