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Finding the Fourth Proportional to 64,971.91, 97,492.02 and 46,118.21

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Solution

The fourth proportional to 64,971.91, 97,492.02 and 46,118.21 is: 69,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.91 : 97,492.02 = 46,118.21 : x
  2. Step 2: Convert to fraction form
    64,971.91/97,492.02 = 46,118.21/x
  3. Step 3: Cross multiply
    64,971.91x = 97,492.02 × 46,118.21
  4. Step 4: Simplify right side
    64,971.91x = 4,496,157,221.09
  5. Step 5: Solve for x
    x = 4,496,157,221.09/64,971.91
  6. Step 6: Final answer
    x = 69,201.56

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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.