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Finding the Fourth Proportional to 28,830.15, 42,958.64 and 25,686

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Solution

The fourth proportional to 28,830.15, 42,958.64 and 25,686 is: 38,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,830.15 : 42,958.64 = 25,686 : x
  2. Step 2: Convert to fraction form
    28,830.15/42,958.64 = 25,686/x
  3. Step 3: Cross multiply
    28,830.15x = 42,958.64 × 25,686
  4. Step 4: Simplify right side
    28,830.15x = 1,103,435,498.61
  5. Step 5: Solve for x
    x = 1,103,435,498.61/28,830.15
  6. Step 6: Final answer
    x = 38,273.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.