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Finding the Fourth Proportional to 105,539.24, 145,644.42 and 57,792.92

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Solution

The fourth proportional to 105,539.24, 145,644.42 and 57,792.92 is: 79,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539.24 : 145,644.42 = 57,792.92 : x
  2. Step 2: Convert to fraction form
    105,539.24/145,644.42 = 57,792.92/x
  3. Step 3: Cross multiply
    105,539.24x = 145,644.42 × 57,792.92
  4. Step 4: Simplify right side
    105,539.24x = 8,417,216,313.51
  5. Step 5: Solve for x
    x = 8,417,216,313.51/105,539.24
  6. Step 6: Final answer
    x = 79,754.38

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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.