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Finding the Fourth Proportional to 75,062, 103,585.56 and 41,530.16

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Solution

The fourth proportional to 75,062, 103,585.56 and 41,530.16 is: 57,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,062 : 103,585.56 = 41,530.16 : x
  2. Step 2: Convert to fraction form
    75,062/103,585.56 = 41,530.16/x
  3. Step 3: Cross multiply
    75,062x = 103,585.56 × 41,530.16
  4. Step 4: Simplify right side
    75,062x = 4,301,924,880.49
  5. Step 5: Solve for x
    x = 4,301,924,880.49/75,062
  6. Step 6: Final answer
    x = 57,311.62

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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.