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Finding the Fourth Proportional to 58,099.84, 87,011.52 and 33,424

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Solution

The fourth proportional to 58,099.84, 87,011.52 and 33,424 is: 50,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,099.84 : 87,011.52 = 33,424 : x
  2. Step 2: Convert to fraction form
    58,099.84/87,011.52 = 33,424/x
  3. Step 3: Cross multiply
    58,099.84x = 87,011.52 × 33,424
  4. Step 4: Simplify right side
    58,099.84x = 2,908,273,044.48
  5. Step 5: Solve for x
    x = 2,908,273,044.48/58,099.84
  6. Step 6: Final answer
    x = 50,056.47

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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.