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Finding the Fourth Proportional to 56,709.89, 78,258.08 and 30,867.58

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Solution

The fourth proportional to 56,709.89, 78,258.08 and 30,867.58 is: 42,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,709.89 : 78,258.08 = 30,867.58 : x
  2. Step 2: Convert to fraction form
    56,709.89/78,258.08 = 30,867.58/x
  3. Step 3: Cross multiply
    56,709.89x = 78,258.08 × 30,867.58
  4. Step 4: Simplify right side
    56,709.89x = 2,415,637,720.04
  5. Step 5: Solve for x
    x = 2,415,637,720.04/56,709.89
  6. Step 6: Final answer
    x = 42,596.41

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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.