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Finding the Fourth Proportional to 31,328.28, 46,991.16 and 12,602.88

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Solution

The fourth proportional to 31,328.28, 46,991.16 and 12,602.88 is: 18,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328.28 : 46,991.16 = 12,602.88 : x
  2. Step 2: Convert to fraction form
    31,328.28/46,991.16 = 12,602.88/x
  3. Step 3: Cross multiply
    31,328.28x = 46,991.16 × 12,602.88
  4. Step 4: Simplify right side
    31,328.28x = 592,223,950.54
  5. Step 5: Solve for x
    x = 592,223,950.54/31,328.28
  6. Step 6: Final answer
    x = 18,903.81

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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.