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Finding the Fourth Proportional to 76,598.29, 114,871.92 and 32,216.77

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Solution

The fourth proportional to 76,598.29, 114,871.92 and 32,216.77 is: 48,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,598.29 : 114,871.92 = 32,216.77 : x
  2. Step 2: Convert to fraction form
    76,598.29/114,871.92 = 32,216.77/x
  3. Step 3: Cross multiply
    76,598.29x = 114,871.92 × 32,216.77
  4. Step 4: Simplify right side
    76,598.29x = 3,700,802,226.10
  5. Step 5: Solve for x
    x = 3,700,802,226.10/76,598.29
  6. Step 6: Final answer
    x = 48,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.