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Finding the Fourth Proportional to 53,288.80, 79,538 and 46,141.12

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Solution

The fourth proportional to 53,288.80, 79,538 and 46,141.12 is: 68,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,288.80 : 79,538 = 46,141.12 : x
  2. Step 2: Convert to fraction form
    53,288.80/79,538 = 46,141.12/x
  3. Step 3: Cross multiply
    53,288.80x = 79,538 × 46,141.12
  4. Step 4: Simplify right side
    53,288.80x = 3,669,972,402.56
  5. Step 5: Solve for x
    x = 3,669,972,402.56/53,288.80
  6. Step 6: Final answer
    x = 68,869.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.