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Finding the Fourth Proportional to 30,456.68, 45,724.80 and 24,455.96

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Solution

The fourth proportional to 30,456.68, 45,724.80 and 24,455.96 is: 36,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.68 : 45,724.80 = 24,455.96 : x
  2. Step 2: Convert to fraction form
    30,456.68/45,724.80 = 24,455.96/x
  3. Step 3: Cross multiply
    30,456.68x = 45,724.80 × 24,455.96
  4. Step 4: Simplify right side
    30,456.68x = 1,118,243,651.18
  5. Step 5: Solve for x
    x = 1,118,243,651.18/30,456.68
  6. Step 6: Final answer
    x = 36,715.88

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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.