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Finding the Fourth Proportional to 31,777.99, 43,852.14 and 17,437.50

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Solution

The fourth proportional to 31,777.99, 43,852.14 and 17,437.50 is: 24,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.99 : 43,852.14 = 17,437.50 : x
  2. Step 2: Convert to fraction form
    31,777.99/43,852.14 = 17,437.50/x
  3. Step 3: Cross multiply
    31,777.99x = 43,852.14 × 17,437.50
  4. Step 4: Simplify right side
    31,777.99x = 764,671,384.80
  5. Step 5: Solve for x
    x = 764,671,384.80/31,777.99
  6. Step 6: Final answer
    x = 24,062.92

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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.