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Finding the Fourth Proportional to 82,852.38, 114,403.80 and 67,541.40

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Solution

The fourth proportional to 82,852.38, 114,403.80 and 67,541.40 is: 93,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.38 : 114,403.80 = 67,541.40 : x
  2. Step 2: Convert to fraction form
    82,852.38/114,403.80 = 67,541.40/x
  3. Step 3: Cross multiply
    82,852.38x = 114,403.80 × 67,541.40
  4. Step 4: Simplify right side
    82,852.38x = 7,726,992,817.32
  5. Step 5: Solve for x
    x = 7,726,992,817.32/82,852.38
  6. Step 6: Final answer
    x = 93,262.17

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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.