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Finding the Fourth Proportional to 32,507.84, 48,674.10 and 21,235.25

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Solution

The fourth proportional to 32,507.84, 48,674.10 and 21,235.25 is: 31,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.84 : 48,674.10 = 21,235.25 : x
  2. Step 2: Convert to fraction form
    32,507.84/48,674.10 = 21,235.25/x
  3. Step 3: Cross multiply
    32,507.84x = 48,674.10 × 21,235.25
  4. Step 4: Simplify right side
    32,507.84x = 1,033,606,438.65
  5. Step 5: Solve for x
    x = 1,033,606,438.65/32,507.84
  6. Step 6: Final answer
    x = 31,795.61

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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.