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Finding the Fourth Proportional to 71,295.93, 106,953.62 and 24,536.25

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Solution

The fourth proportional to 71,295.93, 106,953.62 and 24,536.25 is: 36,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,295.93 : 106,953.62 = 24,536.25 : x
  2. Step 2: Convert to fraction form
    71,295.93/106,953.62 = 24,536.25/x
  3. Step 3: Cross multiply
    71,295.93x = 106,953.62 × 24,536.25
  4. Step 4: Simplify right side
    71,295.93x = 2,624,240,636.04
  5. Step 5: Solve for x
    x = 2,624,240,636.04/71,295.93
  6. Step 6: Final answer
    x = 36,807.72

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Why These Related Problems?

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