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Finding the Fourth Proportional to 31,460.30, 47,206.94 and 12,742.32

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Solution

The fourth proportional to 31,460.30, 47,206.94 and 12,742.32 is: 19,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.30 : 47,206.94 = 12,742.32 : x
  2. Step 2: Convert to fraction form
    31,460.30/47,206.94 = 12,742.32/x
  3. Step 3: Cross multiply
    31,460.30x = 47,206.94 × 12,742.32
  4. Step 4: Simplify right side
    31,460.30x = 601,525,871.99
  5. Step 5: Solve for x
    x = 601,525,871.99/31,460.30
  6. Step 6: Final answer
    x = 19,120.16

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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.