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Finding the Fourth Proportional to 30,582.43, 45,862.64 and 10,586.49

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Solution

The fourth proportional to 30,582.43, 45,862.64 and 10,586.49 is: 15,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.43 : 45,862.64 = 10,586.49 : x
  2. Step 2: Convert to fraction form
    30,582.43/45,862.64 = 10,586.49/x
  3. Step 3: Cross multiply
    30,582.43x = 45,862.64 × 10,586.49
  4. Step 4: Simplify right side
    30,582.43x = 485,524,154.82
  5. Step 5: Solve for x
    x = 485,524,154.82/30,582.43
  6. Step 6: Final answer
    x = 15,875.92

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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.