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Finding the Fourth Proportional to 42,577.35, 58,780.35 and 25,585.77

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Solution

The fourth proportional to 42,577.35, 58,780.35 and 25,585.77 is: 35,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,577.35 : 58,780.35 = 25,585.77 : x
  2. Step 2: Convert to fraction form
    42,577.35/58,780.35 = 25,585.77/x
  3. Step 3: Cross multiply
    42,577.35x = 58,780.35 × 25,585.77
  4. Step 4: Simplify right side
    42,577.35x = 1,503,940,515.62
  5. Step 5: Solve for x
    x = 1,503,940,515.62/42,577.35
  6. Step 6: Final answer
    x = 35,322.55

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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.