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Finding the Fourth Proportional to 76,137, 114,210.90 and 23,539.65

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Solution

The fourth proportional to 76,137, 114,210.90 and 23,539.65 is: 35,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,137 : 114,210.90 = 23,539.65 : x
  2. Step 2: Convert to fraction form
    76,137/114,210.90 = 23,539.65/x
  3. Step 3: Cross multiply
    76,137x = 114,210.90 × 23,539.65
  4. Step 4: Simplify right side
    76,137x = 2,688,484,612.19
  5. Step 5: Solve for x
    x = 2,688,484,612.19/76,137
  6. Step 6: Final answer
    x = 35,311.14

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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.