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Finding the Fourth Proportional to 82,894.64, 114,412.28 and 54,602.80

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Solution

The fourth proportional to 82,894.64, 114,412.28 and 54,602.80 is: 75,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,894.64 : 114,412.28 = 54,602.80 : x
  2. Step 2: Convert to fraction form
    82,894.64/114,412.28 = 54,602.80/x
  3. Step 3: Cross multiply
    82,894.64x = 114,412.28 × 54,602.80
  4. Step 4: Simplify right side
    82,894.64x = 6,247,230,842.38
  5. Step 5: Solve for x
    x = 6,247,230,842.38/82,894.64
  6. Step 6: Final answer
    x = 75,363.51

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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.