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Finding the Fourth Proportional to 69,097.76, 95,349.68 and 40,798

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Solution

The fourth proportional to 69,097.76, 95,349.68 and 40,798 is: 56,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,097.76 : 95,349.68 = 40,798 : x
  2. Step 2: Convert to fraction form
    69,097.76/95,349.68 = 40,798/x
  3. Step 3: Cross multiply
    69,097.76x = 95,349.68 × 40,798
  4. Step 4: Simplify right side
    69,097.76x = 3,890,076,244.64
  5. Step 5: Solve for x
    x = 3,890,076,244.64/69,097.76
  6. Step 6: Final answer
    x = 56,298.15

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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.