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Finding the Fourth Proportional to 82,707.92, 114,078.48 and 57,222.08

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Solution

The fourth proportional to 82,707.92, 114,078.48 and 57,222.08 is: 78,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,707.92 : 114,078.48 = 57,222.08 : x
  2. Step 2: Convert to fraction form
    82,707.92/114,078.48 = 57,222.08/x
  3. Step 3: Cross multiply
    82,707.92x = 114,078.48 × 57,222.08
  4. Step 4: Simplify right side
    82,707.92x = 6,527,807,908.84
  5. Step 5: Solve for x
    x = 6,527,807,908.84/82,707.92
  6. Step 6: Final answer
    x = 78,926.03

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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.