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Finding the Fourth Proportional to 77,336.64, 106,776 and 59,399.68

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Solution

The fourth proportional to 77,336.64, 106,776 and 59,399.68 is: 82,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,336.64 : 106,776 = 59,399.68 : x
  2. Step 2: Convert to fraction form
    77,336.64/106,776 = 59,399.68/x
  3. Step 3: Cross multiply
    77,336.64x = 106,776 × 59,399.68
  4. Step 4: Simplify right side
    77,336.64x = 6,342,460,231.68
  5. Step 5: Solve for x
    x = 6,342,460,231.68/77,336.64
  6. Step 6: Final answer
    x = 82,011.07

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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.