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Finding the Fourth Proportional to 76,477.70, 114,732.94 and 32,078.87

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Solution

The fourth proportional to 76,477.70, 114,732.94 and 32,078.87 is: 48,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.70 : 114,732.94 = 32,078.87 : x
  2. Step 2: Convert to fraction form
    76,477.70/114,732.94 = 32,078.87/x
  3. Step 3: Cross multiply
    76,477.70x = 114,732.94 × 32,078.87
  4. Step 4: Simplify right side
    76,477.70x = 3,680,502,903.51
  5. Step 5: Solve for x
    x = 3,680,502,903.51/76,477.70
  6. Step 6: Final answer
    x = 48,125.18

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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.