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Finding the Fourth Proportional to 32,528.50, 48,792.78 and 7,904.50

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Solution

The fourth proportional to 32,528.50, 48,792.78 and 7,904.50 is: 11,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,528.50 : 48,792.78 = 7,904.50 : x
  2. Step 2: Convert to fraction form
    32,528.50/48,792.78 = 7,904.50/x
  3. Step 3: Cross multiply
    32,528.50x = 48,792.78 × 7,904.50
  4. Step 4: Simplify right side
    32,528.50x = 385,682,529.51
  5. Step 5: Solve for x
    x = 385,682,529.51/32,528.50
  6. Step 6: Final answer
    x = 11,856.76

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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.