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Finding the Fourth Proportional to 30,733.48, 46,079.16 and 11,011.60

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Solution

The fourth proportional to 30,733.48, 46,079.16 and 11,011.60 is: 16,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.48 : 46,079.16 = 11,011.60 : x
  2. Step 2: Convert to fraction form
    30,733.48/46,079.16 = 11,011.60/x
  3. Step 3: Cross multiply
    30,733.48x = 46,079.16 × 11,011.60
  4. Step 4: Simplify right side
    30,733.48x = 507,405,278.26
  5. Step 5: Solve for x
    x = 507,405,278.26/30,733.48
  6. Step 6: Final answer
    x = 16,509.85

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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.