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Finding the Fourth Proportional to 32,145.03, 48,217.41 and 14,602.50

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Solution

The fourth proportional to 32,145.03, 48,217.41 and 14,602.50 is: 21,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.03 : 48,217.41 = 14,602.50 : x
  2. Step 2: Convert to fraction form
    32,145.03/48,217.41 = 14,602.50/x
  3. Step 3: Cross multiply
    32,145.03x = 48,217.41 × 14,602.50
  4. Step 4: Simplify right side
    32,145.03x = 704,094,729.53
  5. Step 5: Solve for x
    x = 704,094,729.53/32,145.03
  6. Step 6: Final answer
    x = 21,903.69

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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.