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Finding the Fourth Proportional to 32,671.82, 49,007.54 and 9,298.28

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Solution

The fourth proportional to 32,671.82, 49,007.54 and 9,298.28 is: 13,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.82 : 49,007.54 = 9,298.28 : x
  2. Step 2: Convert to fraction form
    32,671.82/49,007.54 = 9,298.28/x
  3. Step 3: Cross multiply
    32,671.82x = 49,007.54 × 9,298.28
  4. Step 4: Simplify right side
    32,671.82x = 455,685,829.03
  5. Step 5: Solve for x
    x = 455,685,829.03/32,671.82
  6. Step 6: Final answer
    x = 13,947.37

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1.5x scale

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.