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Finding the Fourth Proportional to 37,788.66, 56,689.11 and 12,830.94

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Solution

The fourth proportional to 37,788.66, 56,689.11 and 12,830.94 is: 19,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,788.66 : 56,689.11 = 12,830.94 : x
  2. Step 2: Convert to fraction form
    37,788.66/56,689.11 = 12,830.94/x
  3. Step 3: Cross multiply
    37,788.66x = 56,689.11 × 12,830.94
  4. Step 4: Simplify right side
    37,788.66x = 727,374,569.06
  5. Step 5: Solve for x
    x = 727,374,569.06/37,788.66
  6. Step 6: Final answer
    x = 19,248.49

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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.