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Finding the Fourth Proportional to 76,386.50, 114,582.86 and 36,384.92

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Solution

The fourth proportional to 76,386.50, 114,582.86 and 36,384.92 is: 54,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,386.50 : 114,582.86 = 36,384.92 : x
  2. Step 2: Convert to fraction form
    76,386.50/114,582.86 = 36,384.92/x
  3. Step 3: Cross multiply
    76,386.50x = 114,582.86 × 36,384.92
  4. Step 4: Simplify right side
    76,386.50x = 4,169,088,012.55
  5. Step 5: Solve for x
    x = 4,169,088,012.55/76,386.50
  6. Step 6: Final answer
    x = 54,578.86

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