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Finding the Fourth Proportional to 76,058.60, 114,094.51 and 19,898.46

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Solution

The fourth proportional to 76,058.60, 114,094.51 and 19,898.46 is: 29,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,058.60 : 114,094.51 = 19,898.46 : x
  2. Step 2: Convert to fraction form
    76,058.60/114,094.51 = 19,898.46/x
  3. Step 3: Cross multiply
    76,058.60x = 114,094.51 × 19,898.46
  4. Step 4: Simplify right side
    76,058.60x = 2,270,304,993.71
  5. Step 5: Solve for x
    x = 2,270,304,993.71/76,058.60
  6. Step 6: Final answer
    x = 29,849.42

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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.