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Finding the Fourth Proportional to 29,756.16, 44,653.68 and 14,175

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Solution

The fourth proportional to 29,756.16, 44,653.68 and 14,175 is: 21,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756.16 : 44,653.68 = 14,175 : x
  2. Step 2: Convert to fraction form
    29,756.16/44,653.68 = 14,175/x
  3. Step 3: Cross multiply
    29,756.16x = 44,653.68 × 14,175
  4. Step 4: Simplify right side
    29,756.16x = 632,965,914
  5. Step 5: Solve for x
    x = 632,965,914/29,756.16
  6. Step 6: Final answer
    x = 21,271.76

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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.