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Finding the Fourth Proportional to 30,580.66, 45,823.74 and 25,878.88

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Solution

The fourth proportional to 30,580.66, 45,823.74 and 25,878.88 is: 38,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.66 : 45,823.74 = 25,878.88 : x
  2. Step 2: Convert to fraction form
    30,580.66/45,823.74 = 25,878.88/x
  3. Step 3: Cross multiply
    30,580.66x = 45,823.74 × 25,878.88
  4. Step 4: Simplify right side
    30,580.66x = 1,185,867,068.61
  5. Step 5: Solve for x
    x = 1,185,867,068.61/30,580.66
  6. Step 6: Final answer
    x = 38,778.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.