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Finding the Fourth Proportional to 34,656.42, 47,825.86 and 18,740.87

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Solution

The fourth proportional to 34,656.42, 47,825.86 and 18,740.87 is: 25,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.42 : 47,825.86 = 18,740.87 : x
  2. Step 2: Convert to fraction form
    34,656.42/47,825.86 = 18,740.87/x
  3. Step 3: Cross multiply
    34,656.42x = 47,825.86 × 18,740.87
  4. Step 4: Simplify right side
    34,656.42x = 896,297,985.77
  5. Step 5: Solve for x
    x = 896,297,985.77/34,656.42
  6. Step 6: Final answer
    x = 25,862.39

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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.