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Finding the Fourth Proportional to 131,788.95, 197,681.64 and 31,950

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Solution

The fourth proportional to 131,788.95, 197,681.64 and 31,950 is: 47,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,788.95 : 197,681.64 = 31,950 : x
  2. Step 2: Convert to fraction form
    131,788.95/197,681.64 = 31,950/x
  3. Step 3: Cross multiply
    131,788.95x = 197,681.64 × 31,950
  4. Step 4: Simplify right side
    131,788.95x = 6,315,928,398
  5. Step 5: Solve for x
    x = 6,315,928,398/131,788.95
  6. Step 6: Final answer
    x = 47,924.57

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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.