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Finding the Fourth Proportional to 30,764.40, 46,114.20 and 12,037.20

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Solution

The fourth proportional to 30,764.40, 46,114.20 and 12,037.20 is: 18,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.40 : 46,114.20 = 12,037.20 : x
  2. Step 2: Convert to fraction form
    30,764.40/46,114.20 = 12,037.20/x
  3. Step 3: Cross multiply
    30,764.40x = 46,114.20 × 12,037.20
  4. Step 4: Simplify right side
    30,764.40x = 555,085,848.24
  5. Step 5: Solve for x
    x = 555,085,848.24/30,764.40
  6. Step 6: Final answer
    x = 18,043.12

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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.