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Finding the Fourth Proportional to 32,594.29, 48,913.34 and 11,534.24

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Solution

The fourth proportional to 32,594.29, 48,913.34 and 11,534.24 is: 17,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.29 : 48,913.34 = 11,534.24 : x
  2. Step 2: Convert to fraction form
    32,594.29/48,913.34 = 11,534.24/x
  3. Step 3: Cross multiply
    32,594.29x = 48,913.34 × 11,534.24
  4. Step 4: Simplify right side
    32,594.29x = 564,178,353.88
  5. Step 5: Solve for x
    x = 564,178,353.88/32,594.29
  6. Step 6: Final answer
    x = 17,309.12

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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.