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Finding the Fourth Proportional to 105,664.52, 145,821.12 and 57,916.88

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Solution

The fourth proportional to 105,664.52, 145,821.12 and 57,916.88 is: 79,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,664.52 : 145,821.12 = 57,916.88 : x
  2. Step 2: Convert to fraction form
    105,664.52/145,821.12 = 57,916.88/x
  3. Step 3: Cross multiply
    105,664.52x = 145,821.12 × 57,916.88
  4. Step 4: Simplify right side
    105,664.52x = 8,445,504,308.51
  5. Step 5: Solve for x
    x = 8,445,504,308.51/105,664.52
  6. Step 6: Final answer
    x = 79,927.53

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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.