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Finding the Fourth Proportional to 53,057, 79,573.34 and 23,458.76

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Solution

The fourth proportional to 53,057, 79,573.34 and 23,458.76 is: 35,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057 : 79,573.34 = 23,458.76 : x
  2. Step 2: Convert to fraction form
    53,057/79,573.34 = 23,458.76/x
  3. Step 3: Cross multiply
    53,057x = 79,573.34 × 23,458.76
  4. Step 4: Simplify right side
    53,057x = 1,866,691,885.46
  5. Step 5: Solve for x
    x = 1,866,691,885.46/53,057
  6. Step 6: Final answer
    x = 35,182.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.