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Finding the Fourth Proportional to 32,459.16, 48,693.78 and 11,687.52

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Solution

The fourth proportional to 32,459.16, 48,693.78 and 11,687.52 is: 17,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.16 : 48,693.78 = 11,687.52 : x
  2. Step 2: Convert to fraction form
    32,459.16/48,693.78 = 11,687.52/x
  3. Step 3: Cross multiply
    32,459.16x = 48,693.78 × 11,687.52
  4. Step 4: Simplify right side
    32,459.16x = 569,109,527.63
  5. Step 5: Solve for x
    x = 569,109,527.63/32,459.16
  6. Step 6: Final answer
    x = 17,533.09

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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.