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Finding the Fourth Proportional to 30,433.61, 45,636.05 and 17,787

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Solution

The fourth proportional to 30,433.61, 45,636.05 and 17,787 is: 26,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.61 : 45,636.05 = 17,787 : x
  2. Step 2: Convert to fraction form
    30,433.61/45,636.05 = 17,787/x
  3. Step 3: Cross multiply
    30,433.61x = 45,636.05 × 17,787
  4. Step 4: Simplify right side
    30,433.61x = 811,728,465.82
  5. Step 5: Solve for x
    x = 811,728,465.82/30,433.61
  6. Step 6: Final answer
    x = 26,672.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.