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Finding the Fourth Proportional to 105,392.52, 145,440.50 and 57,647.24

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Solution

The fourth proportional to 105,392.52, 145,440.50 and 57,647.24 is: 79,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,392.52 : 145,440.50 = 57,647.24 : x
  2. Step 2: Convert to fraction form
    105,392.52/145,440.50 = 57,647.24/x
  3. Step 3: Cross multiply
    105,392.52x = 145,440.50 × 57,647.24
  4. Step 4: Simplify right side
    105,392.52x = 8,384,243,409.22
  5. Step 5: Solve for x
    x = 8,384,243,409.22/105,392.52
  6. Step 6: Final answer
    x = 79,552.55

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