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Finding the Fourth Proportional to 47,141.70, 70,713.48 and 37,738.08

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Solution

The fourth proportional to 47,141.70, 70,713.48 and 37,738.08 is: 56,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,141.70 : 70,713.48 = 37,738.08 : x
  2. Step 2: Convert to fraction form
    47,141.70/70,713.48 = 37,738.08/x
  3. Step 3: Cross multiply
    47,141.70x = 70,713.48 × 37,738.08
  4. Step 4: Simplify right side
    47,141.70x = 2,668,590,965.32
  5. Step 5: Solve for x
    x = 2,668,590,965.32/47,141.70
  6. Step 6: Final answer
    x = 56,607.86

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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.