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Finding the Fourth Proportional to 82,215.60, 123,323.40 and 42,849.60

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Solution

The fourth proportional to 82,215.60, 123,323.40 and 42,849.60 is: 64,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215.60 : 123,323.40 = 42,849.60 : x
  2. Step 2: Convert to fraction form
    82,215.60/123,323.40 = 42,849.60/x
  3. Step 3: Cross multiply
    82,215.60x = 123,323.40 × 42,849.60
  4. Step 4: Simplify right side
    82,215.60x = 5,284,358,360.64
  5. Step 5: Solve for x
    x = 5,284,358,360.64/82,215.60
  6. Step 6: Final answer
    x = 64,274.40

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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.