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Finding the Fourth Proportional to 71,969.16, 107,953.02 and 24,583.74

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Solution

The fourth proportional to 71,969.16, 107,953.02 and 24,583.74 is: 36,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969.16 : 107,953.02 = 24,583.74 : x
  2. Step 2: Convert to fraction form
    71,969.16/107,953.02 = 24,583.74/x
  3. Step 3: Cross multiply
    71,969.16x = 107,953.02 × 24,583.74
  4. Step 4: Simplify right side
    71,969.16x = 2,653,888,975.89
  5. Step 5: Solve for x
    x = 2,653,888,975.89/71,969.16
  6. Step 6: Final answer
    x = 36,875.36

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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.