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Finding the Fourth Proportional to 102,598.89, 153,890.64 and 36,039.60

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Solution

The fourth proportional to 102,598.89, 153,890.64 and 36,039.60 is: 54,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,598.89 : 153,890.64 = 36,039.60 : x
  2. Step 2: Convert to fraction form
    102,598.89/153,890.64 = 36,039.60/x
  3. Step 3: Cross multiply
    102,598.89x = 153,890.64 × 36,039.60
  4. Step 4: Simplify right side
    102,598.89x = 5,546,157,109.34
  5. Step 5: Solve for x
    x = 5,546,157,109.34/102,598.89
  6. Step 6: Final answer
    x = 54,056.70

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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.