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Finding the Fourth Proportional to 82,811.60, 124,217.40 and 27,407.60

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Solution

The fourth proportional to 82,811.60, 124,217.40 and 27,407.60 is: 41,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.60 : 124,217.40 = 27,407.60 : x
  2. Step 2: Convert to fraction form
    82,811.60/124,217.40 = 27,407.60/x
  3. Step 3: Cross multiply
    82,811.60x = 124,217.40 × 27,407.60
  4. Step 4: Simplify right side
    82,811.60x = 3,404,500,812.24
  5. Step 5: Solve for x
    x = 3,404,500,812.24/82,811.60
  6. Step 6: Final answer
    x = 41,111.40

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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.