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Finding the Fourth Proportional to 105,348, 145,380.24 and 57,601.72

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Solution

The fourth proportional to 105,348, 145,380.24 and 57,601.72 is: 79,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,348 : 145,380.24 = 57,601.72 : x
  2. Step 2: Convert to fraction form
    105,348/145,380.24 = 57,601.72/x
  3. Step 3: Cross multiply
    105,348x = 145,380.24 × 57,601.72
  4. Step 4: Simplify right side
    105,348x = 8,374,151,878.01
  5. Step 5: Solve for x
    x = 8,374,151,878.01/105,348
  6. Step 6: Final answer
    x = 79,490.37

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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.