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Finding the Fourth Proportional to 64,348.16, 96,532.48 and 27,412.48

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Solution

The fourth proportional to 64,348.16, 96,532.48 and 27,412.48 is: 41,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,348.16 : 96,532.48 = 27,412.48 : x
  2. Step 2: Convert to fraction form
    64,348.16/96,532.48 = 27,412.48/x
  3. Step 3: Cross multiply
    64,348.16x = 96,532.48 × 27,412.48
  4. Step 4: Simplify right side
    64,348.16x = 2,646,194,677.35
  5. Step 5: Solve for x
    x = 2,646,194,677.35/64,348.16
  6. Step 6: Final answer
    x = 41,123.08

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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.