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Finding the Fourth Proportional to 59,319, 81,857.82 and 35,458.86

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Solution

The fourth proportional to 59,319, 81,857.82 and 35,458.86 is: 48,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,319 : 81,857.82 = 35,458.86 : x
  2. Step 2: Convert to fraction form
    59,319/81,857.82 = 35,458.86/x
  3. Step 3: Cross multiply
    59,319x = 81,857.82 × 35,458.86
  4. Step 4: Simplify right side
    59,319x = 2,902,584,979.29
  5. Step 5: Solve for x
    x = 2,902,584,979.29/59,319
  6. Step 6: Final answer
    x = 48,931.79

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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.