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Finding the Fourth Proportional to 58,042.46, 86,947.02 and 30,282.14

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Solution

The fourth proportional to 58,042.46, 86,947.02 and 30,282.14 is: 45,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,042.46 : 86,947.02 = 30,282.14 : x
  2. Step 2: Convert to fraction form
    58,042.46/86,947.02 = 30,282.14/x
  3. Step 3: Cross multiply
    58,042.46x = 86,947.02 × 30,282.14
  4. Step 4: Simplify right side
    58,042.46x = 2,632,941,832.22
  5. Step 5: Solve for x
    x = 2,632,941,832.22/58,042.46
  6. Step 6: Final answer
    x = 45,362.34

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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.