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Finding the Fourth Proportional to 32,507.46, 48,761.19 and 12,788.01

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Solution

The fourth proportional to 32,507.46, 48,761.19 and 12,788.01 is: 19,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.46 : 48,761.19 = 12,788.01 : x
  2. Step 2: Convert to fraction form
    32,507.46/48,761.19 = 12,788.01/x
  3. Step 3: Cross multiply
    32,507.46x = 48,761.19 × 12,788.01
  4. Step 4: Simplify right side
    32,507.46x = 623,558,585.33
  5. Step 5: Solve for x
    x = 623,558,585.33/32,507.46
  6. Step 6: Final answer
    x = 19,182.02

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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.