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Finding the Fourth Proportional to 32,281.50, 48,424.08 and 11,505

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Solution

The fourth proportional to 32,281.50, 48,424.08 and 11,505 is: 17,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281.50 : 48,424.08 = 11,505 : x
  2. Step 2: Convert to fraction form
    32,281.50/48,424.08 = 11,505/x
  3. Step 3: Cross multiply
    32,281.50x = 48,424.08 × 11,505
  4. Step 4: Simplify right side
    32,281.50x = 557,119,040.40
  5. Step 5: Solve for x
    x = 557,119,040.40/32,281.50
  6. Step 6: Final answer
    x = 17,258.15

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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.