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Finding the Fourth Proportional to 76,414, 114,551.88 and 38,953.12

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Solution

The fourth proportional to 76,414, 114,551.88 and 38,953.12 is: 58,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414 : 114,551.88 = 38,953.12 : x
  2. Step 2: Convert to fraction form
    76,414/114,551.88 = 38,953.12/x
  3. Step 3: Cross multiply
    76,414x = 114,551.88 × 38,953.12
  4. Step 4: Simplify right side
    76,414x = 4,462,153,127.87
  5. Step 5: Solve for x
    x = 4,462,153,127.87/76,414
  6. Step 6: Final answer
    x = 58,394.45

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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.