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Finding the Fourth Proportional to 53,957.58, 74,460.38 and 30,082.83

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Solution

The fourth proportional to 53,957.58, 74,460.38 and 30,082.83 is: 41,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,957.58 : 74,460.38 = 30,082.83 : x
  2. Step 2: Convert to fraction form
    53,957.58/74,460.38 = 30,082.83/x
  3. Step 3: Cross multiply
    53,957.58x = 74,460.38 × 30,082.83
  4. Step 4: Simplify right side
    53,957.58x = 2,239,978,802.86
  5. Step 5: Solve for x
    x = 2,239,978,802.86/53,957.58
  6. Step 6: Final answer
    x = 41,513.70

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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.