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Finding the Fourth Proportional to 78,582.34, 108,570.54 and 54,815.12

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Solution

The fourth proportional to 78,582.34, 108,570.54 and 54,815.12 is: 75,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,582.34 : 108,570.54 = 54,815.12 : x
  2. Step 2: Convert to fraction form
    78,582.34/108,570.54 = 54,815.12/x
  3. Step 3: Cross multiply
    78,582.34x = 108,570.54 × 54,815.12
  4. Step 4: Simplify right side
    78,582.34x = 5,951,307,178.56
  5. Step 5: Solve for x
    x = 5,951,307,178.56/78,582.34
  6. Step 6: Final answer
    x = 75,733.39

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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.