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Finding the Fourth Proportional to 32,597.71, 48,905.84 and 10,412.82

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Solution

The fourth proportional to 32,597.71, 48,905.84 and 10,412.82 is: 15,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.71 : 48,905.84 = 10,412.82 : x
  2. Step 2: Convert to fraction form
    32,597.71/48,905.84 = 10,412.82/x
  3. Step 3: Cross multiply
    32,597.71x = 48,905.84 × 10,412.82
  4. Step 4: Simplify right side
    32,597.71x = 509,247,734.90
  5. Step 5: Solve for x
    x = 509,247,734.90/32,597.71
  6. Step 6: Final answer
    x = 15,622.19

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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.