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Finding the Fourth Proportional to 102,580.44, 153,889.38 and 47,175

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Solution

The fourth proportional to 102,580.44, 153,889.38 and 47,175 is: 70,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,580.44 : 153,889.38 = 47,175 : x
  2. Step 2: Convert to fraction form
    102,580.44/153,889.38 = 47,175/x
  3. Step 3: Cross multiply
    102,580.44x = 153,889.38 × 47,175
  4. Step 4: Simplify right side
    102,580.44x = 7,259,731,501.50
  5. Step 5: Solve for x
    x = 7,259,731,501.50/102,580.44
  6. Step 6: Final answer
    x = 70,771.11

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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.