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Finding the Fourth Proportional to 102,094.48, 153,211.44 and 35,533.96

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Solution

The fourth proportional to 102,094.48, 153,211.44 and 35,533.96 is: 53,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.48 : 153,211.44 = 35,533.96 : x
  2. Step 2: Convert to fraction form
    102,094.48/153,211.44 = 35,533.96/x
  3. Step 3: Cross multiply
    102,094.48x = 153,211.44 × 35,533.96
  4. Step 4: Simplify right side
    102,094.48x = 5,444,209,180.50
  5. Step 5: Solve for x
    x = 5,444,209,180.50/102,094.48
  6. Step 6: Final answer
    x = 53,325.21

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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.