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Finding the Fourth Proportional to 58,095.84, 87,005.52 and 33,420

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Solution

The fourth proportional to 58,095.84, 87,005.52 and 33,420 is: 50,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,095.84 : 87,005.52 = 33,420 : x
  2. Step 2: Convert to fraction form
    58,095.84/87,005.52 = 33,420/x
  3. Step 3: Cross multiply
    58,095.84x = 87,005.52 × 33,420
  4. Step 4: Simplify right side
    58,095.84x = 2,907,724,478.40
  5. Step 5: Solve for x
    x = 2,907,724,478.40/58,095.84
  6. Step 6: Final answer
    x = 50,050.48

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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.