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Finding the Fourth Proportional to 64,689.48, 97,034.19 and 29,109.21

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Solution

The fourth proportional to 64,689.48, 97,034.19 and 29,109.21 is: 43,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,689.48 : 97,034.19 = 29,109.21 : x
  2. Step 2: Convert to fraction form
    64,689.48/97,034.19 = 29,109.21/x
  3. Step 3: Cross multiply
    64,689.48x = 97,034.19 × 29,109.21
  4. Step 4: Simplify right side
    64,689.48x = 2,824,588,613.89
  5. Step 5: Solve for x
    x = 2,824,588,613.89/64,689.48
  6. Step 6: Final answer
    x = 43,663.80

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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.