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Finding the Fourth Proportional to 32,525.64, 48,788.58 and 7,901.64

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Solution

The fourth proportional to 32,525.64, 48,788.58 and 7,901.64 is: 11,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,525.64 : 48,788.58 = 7,901.64 : x
  2. Step 2: Convert to fraction form
    32,525.64/48,788.58 = 7,901.64/x
  3. Step 3: Cross multiply
    32,525.64x = 48,788.58 × 7,901.64
  4. Step 4: Simplify right side
    32,525.64x = 385,509,795.27
  5. Step 5: Solve for x
    x = 385,509,795.27/32,525.64
  6. Step 6: Final answer
    x = 11,852.49

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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.