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Finding the Fourth Proportional to 76,300, 114,449.98 and 23,709.52

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Solution

The fourth proportional to 76,300, 114,449.98 and 23,709.52 is: 35,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,300 : 114,449.98 = 23,709.52 : x
  2. Step 2: Convert to fraction form
    76,300/114,449.98 = 23,709.52/x
  3. Step 3: Cross multiply
    76,300x = 114,449.98 × 23,709.52
  4. Step 4: Simplify right side
    76,300x = 2,713,554,089.81
  5. Step 5: Solve for x
    x = 2,713,554,089.81/76,300
  6. Step 6: Final answer
    x = 35,564.27

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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.