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Finding the Fourth Proportional to 32,076, 48,101.68 and 11,012.10

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Solution

The fourth proportional to 32,076, 48,101.68 and 11,012.10 is: 16,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076 : 48,101.68 = 11,012.10 : x
  2. Step 2: Convert to fraction form
    32,076/48,101.68 = 11,012.10/x
  3. Step 3: Cross multiply
    32,076x = 48,101.68 × 11,012.10
  4. Step 4: Simplify right side
    32,076x = 529,700,510.33
  5. Step 5: Solve for x
    x = 529,700,510.33/32,076
  6. Step 6: Final answer
    x = 16,513.92

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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.