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Finding the Fourth Proportional to 42,067.82, 58,051.40 and 26,152

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Solution

The fourth proportional to 42,067.82, 58,051.40 and 26,152 is: 36,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,067.82 : 58,051.40 = 26,152 : x
  2. Step 2: Convert to fraction form
    42,067.82/58,051.40 = 26,152/x
  3. Step 3: Cross multiply
    42,067.82x = 58,051.40 × 26,152
  4. Step 4: Simplify right side
    42,067.82x = 1,518,160,212.80
  5. Step 5: Solve for x
    x = 1,518,160,212.80/42,067.82
  6. Step 6: Final answer
    x = 36,088.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.