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Finding the Fourth Proportional to 65,221.94, 97,852.43 and 37,500.50

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Solution

The fourth proportional to 65,221.94, 97,852.43 and 37,500.50 is: 56,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.94 : 97,852.43 = 37,500.50 : x
  2. Step 2: Convert to fraction form
    65,221.94/97,852.43 = 37,500.50/x
  3. Step 3: Cross multiply
    65,221.94x = 97,852.43 × 37,500.50
  4. Step 4: Simplify right side
    65,221.94x = 3,669,515,051.22
  5. Step 5: Solve for x
    x = 3,669,515,051.22/65,221.94
  6. Step 6: Final answer
    x = 56,261.97

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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.