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Finding the Fourth Proportional to 30,045.66, 41,461.68 and 16,433.46

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Solution

The fourth proportional to 30,045.66, 41,461.68 and 16,433.46 is: 22,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.66 : 41,461.68 = 16,433.46 : x
  2. Step 2: Convert to fraction form
    30,045.66/41,461.68 = 16,433.46/x
  3. Step 3: Cross multiply
    30,045.66x = 41,461.68 × 16,433.46
  4. Step 4: Simplify right side
    30,045.66x = 681,358,859.81
  5. Step 5: Solve for x
    x = 681,358,859.81/30,045.66
  6. Step 6: Final answer
    x = 22,677.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.