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Finding the Fourth Proportional to 32,506.84, 48,759.90 and 10,321.84

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Solution

The fourth proportional to 32,506.84, 48,759.90 and 10,321.84 is: 15,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.84 : 48,759.90 = 10,321.84 : x
  2. Step 2: Convert to fraction form
    32,506.84/48,759.90 = 10,321.84/x
  3. Step 3: Cross multiply
    32,506.84x = 48,759.90 × 10,321.84
  4. Step 4: Simplify right side
    32,506.84x = 503,291,886.22
  5. Step 5: Solve for x
    x = 503,291,886.22/32,506.84
  6. Step 6: Final answer
    x = 15,482.65

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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.