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Finding the Fourth Proportional to 71,000.94, 106,533 and 37,712.91

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Solution

The fourth proportional to 71,000.94, 106,533 and 37,712.91 is: 56,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000.94 : 106,533 = 37,712.91 : x
  2. Step 2: Convert to fraction form
    71,000.94/106,533 = 37,712.91/x
  3. Step 3: Cross multiply
    71,000.94x = 106,533 × 37,712.91
  4. Step 4: Simplify right side
    71,000.94x = 4,017,669,441.03
  5. Step 5: Solve for x
    x = 4,017,669,441.03/71,000.94
  6. Step 6: Final answer
    x = 56,586.14

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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.