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Finding the Fourth Proportional to 30,518.40, 45,777.06 and 12,758.61

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Solution

The fourth proportional to 30,518.40, 45,777.06 and 12,758.61 is: 19,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,518.40 : 45,777.06 = 12,758.61 : x
  2. Step 2: Convert to fraction form
    30,518.40/45,777.06 = 12,758.61/x
  3. Step 3: Cross multiply
    30,518.40x = 45,777.06 × 12,758.61
  4. Step 4: Simplify right side
    30,518.40x = 584,051,655.49
  5. Step 5: Solve for x
    x = 584,051,655.49/30,518.40
  6. Step 6: Final answer
    x = 19,137.69

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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.