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Finding the Fourth Proportional to 58,089.50, 87,087.34 and 22,532.46

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Solution

The fourth proportional to 58,089.50, 87,087.34 and 22,532.46 is: 33,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,089.50 : 87,087.34 = 22,532.46 : x
  2. Step 2: Convert to fraction form
    58,089.50/87,087.34 = 22,532.46/x
  3. Step 3: Cross multiply
    58,089.50x = 87,087.34 × 22,532.46
  4. Step 4: Simplify right side
    58,089.50x = 1,962,292,005.06
  5. Step 5: Solve for x
    x = 1,962,292,005.06/58,089.50
  6. Step 6: Final answer
    x = 33,780.49

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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.