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Finding the Fourth Proportional to 75,682.16, 104,437.32 and 42,146

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Solution

The fourth proportional to 75,682.16, 104,437.32 and 42,146 is: 58,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682.16 : 104,437.32 = 42,146 : x
  2. Step 2: Convert to fraction form
    75,682.16/104,437.32 = 42,146/x
  3. Step 3: Cross multiply
    75,682.16x = 104,437.32 × 42,146
  4. Step 4: Simplify right side
    75,682.16x = 4,401,615,288.72
  5. Step 5: Solve for x
    x = 4,401,615,288.72/75,682.16
  6. Step 6: Final answer
    x = 58,159.22

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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.