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Finding the Fourth Proportional to 52,880.73, 72,950.25 and 31,655.89

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Solution

The fourth proportional to 52,880.73, 72,950.25 and 31,655.89 is: 43,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,880.73 : 72,950.25 = 31,655.89 : x
  2. Step 2: Convert to fraction form
    52,880.73/72,950.25 = 31,655.89/x
  3. Step 3: Cross multiply
    52,880.73x = 72,950.25 × 31,655.89
  4. Step 4: Simplify right side
    52,880.73x = 2,309,305,089.47
  5. Step 5: Solve for x
    x = 2,309,305,089.47/52,880.73
  6. Step 6: Final answer
    x = 43,670.07

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Why These Related Problems?

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