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Finding the Fourth Proportional to 64,827, 97,269.78 and 37,125

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Solution

The fourth proportional to 64,827, 97,269.78 and 37,125 is: 55,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,827 : 97,269.78 = 37,125 : x
  2. Step 2: Convert to fraction form
    64,827/97,269.78 = 37,125/x
  3. Step 3: Cross multiply
    64,827x = 97,269.78 × 37,125
  4. Step 4: Simplify right side
    64,827x = 3,611,140,582.50
  5. Step 5: Solve for x
    x = 3,611,140,582.50/64,827
  6. Step 6: Final answer
    x = 55,704.27

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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.