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Finding the Fourth Proportional to 75,114, 103,659.48 and 41,582.16

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Solution

The fourth proportional to 75,114, 103,659.48 and 41,582.16 is: 57,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114 : 103,659.48 = 41,582.16 : x
  2. Step 2: Convert to fraction form
    75,114/103,659.48 = 41,582.16/x
  3. Step 3: Cross multiply
    75,114x = 103,659.48 × 41,582.16
  4. Step 4: Simplify right side
    75,114x = 4,310,385,082.88
  5. Step 5: Solve for x
    x = 4,310,385,082.88/75,114
  6. Step 6: Final answer
    x = 57,384.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.