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Finding the Fourth Proportional to 76,511.60, 105,556.40 and 56,416.08

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Solution

The fourth proportional to 76,511.60, 105,556.40 and 56,416.08 is: 77,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,511.60 : 105,556.40 = 56,416.08 : x
  2. Step 2: Convert to fraction form
    76,511.60/105,556.40 = 56,416.08/x
  3. Step 3: Cross multiply
    76,511.60x = 105,556.40 × 56,416.08
  4. Step 4: Simplify right side
    76,511.60x = 5,955,078,306.91
  5. Step 5: Solve for x
    x = 5,955,078,306.91/76,511.60
  6. Step 6: Final answer
    x = 77,832.36

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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.