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Finding the Fourth Proportional to 32,155.48, 48,235.05 and 9,972.01

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Solution

The fourth proportional to 32,155.48, 48,235.05 and 9,972.01 is: 14,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.48 : 48,235.05 = 9,972.01 : x
  2. Step 2: Convert to fraction form
    32,155.48/48,235.05 = 9,972.01/x
  3. Step 3: Cross multiply
    32,155.48x = 48,235.05 × 9,972.01
  4. Step 4: Simplify right side
    32,155.48x = 481,000,496.61
  5. Step 5: Solve for x
    x = 481,000,496.61/32,155.48
  6. Step 6: Final answer
    x = 14,958.58

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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.