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Finding the Fourth Proportional to 32,533.76, 44,896.64 and 17,629.76

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Solution

The fourth proportional to 32,533.76, 44,896.64 and 17,629.76 is: 24,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.76 : 44,896.64 = 17,629.76 : x
  2. Step 2: Convert to fraction form
    32,533.76/44,896.64 = 17,629.76/x
  3. Step 3: Cross multiply
    32,533.76x = 44,896.64 × 17,629.76
  4. Step 4: Simplify right side
    32,533.76x = 791,516,988.01
  5. Step 5: Solve for x
    x = 791,516,988.01/32,533.76
  6. Step 6: Final answer
    x = 24,329.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.