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Finding the Fourth Proportional to 117,563.64, 176,345.30 and 34,457.56

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Solution

The fourth proportional to 117,563.64, 176,345.30 and 34,457.56 is: 51,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,563.64 : 176,345.30 = 34,457.56 : x
  2. Step 2: Convert to fraction form
    117,563.64/176,345.30 = 34,457.56/x
  3. Step 3: Cross multiply
    117,563.64x = 176,345.30 × 34,457.56
  4. Step 4: Simplify right side
    117,563.64x = 6,076,428,755.47
  5. Step 5: Solve for x
    x = 6,076,428,755.47/117,563.64
  6. Step 6: Final answer
    x = 51,686.29

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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.