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Finding the Fourth Proportional to 97,285.28, 134,247.90 and 56,446.25

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Solution

The fourth proportional to 97,285.28, 134,247.90 and 56,446.25 is: 77,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,285.28 : 134,247.90 = 56,446.25 : x
  2. Step 2: Convert to fraction form
    97,285.28/134,247.90 = 56,446.25/x
  3. Step 3: Cross multiply
    97,285.28x = 134,247.90 × 56,446.25
  4. Step 4: Simplify right side
    97,285.28x = 7,577,790,525.38
  5. Step 5: Solve for x
    x = 7,577,790,525.38/97,285.28
  6. Step 6: Final answer
    x = 77,892.47

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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.