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Finding the Fourth Proportional to 32,459.78, 48,697.61 and 19,143.99

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Solution

The fourth proportional to 32,459.78, 48,697.61 and 19,143.99 is: 28,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.78 : 48,697.61 = 19,143.99 : x
  2. Step 2: Convert to fraction form
    32,459.78/48,697.61 = 19,143.99/x
  3. Step 3: Cross multiply
    32,459.78x = 48,697.61 × 19,143.99
  4. Step 4: Simplify right side
    32,459.78x = 932,266,463.14
  5. Step 5: Solve for x
    x = 932,266,463.14/32,459.78
  6. Step 6: Final answer
    x = 28,720.66

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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.