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Finding the Fourth Proportional to 65,213.96, 97,840.44 and 37,492.52

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Solution

The fourth proportional to 65,213.96, 97,840.44 and 37,492.52 is: 56,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.96 : 97,840.44 = 37,492.52 : x
  2. Step 2: Convert to fraction form
    65,213.96/97,840.44 = 37,492.52/x
  3. Step 3: Cross multiply
    65,213.96x = 97,840.44 × 37,492.52
  4. Step 4: Simplify right side
    65,213.96x = 3,668,284,653.51
  5. Step 5: Solve for x
    x = 3,668,284,653.51/65,213.96
  6. Step 6: Final answer
    x = 56,249.99

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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.