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Finding the Fourth Proportional to 29,461.77, 40,657.32 and 16,033.02

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Solution

The fourth proportional to 29,461.77, 40,657.32 and 16,033.02 is: 22,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.77 : 40,657.32 = 16,033.02 : x
  2. Step 2: Convert to fraction form
    29,461.77/40,657.32 = 16,033.02/x
  3. Step 3: Cross multiply
    29,461.77x = 40,657.32 × 16,033.02
  4. Step 4: Simplify right side
    29,461.77x = 651,859,624.71
  5. Step 5: Solve for x
    x = 651,859,624.71/29,461.77
  6. Step 6: Final answer
    x = 22,125.61

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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.