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Finding the Fourth Proportional to 82,838.64, 124,261.80 and 23,682.72

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Solution

The fourth proportional to 82,838.64, 124,261.80 and 23,682.72 is: 35,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.64 : 124,261.80 = 23,682.72 : x
  2. Step 2: Convert to fraction form
    82,838.64/124,261.80 = 23,682.72/x
  3. Step 3: Cross multiply
    82,838.64x = 124,261.80 × 23,682.72
  4. Step 4: Simplify right side
    82,838.64x = 2,942,857,416.10
  5. Step 5: Solve for x
    x = 2,942,857,416.10/82,838.64
  6. Step 6: Final answer
    x = 35,525.18

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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.