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Finding the Fourth Proportional to 32,018.16, 48,032.04 and 11,240

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Solution

The fourth proportional to 32,018.16, 48,032.04 and 11,240 is: 16,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018.16 : 48,032.04 = 11,240 : x
  2. Step 2: Convert to fraction form
    32,018.16/48,032.04 = 11,240/x
  3. Step 3: Cross multiply
    32,018.16x = 48,032.04 × 11,240
  4. Step 4: Simplify right side
    32,018.16x = 539,880,129.60
  5. Step 5: Solve for x
    x = 539,880,129.60/32,018.16
  6. Step 6: Final answer
    x = 16,861.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.