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Finding the Fourth Proportional to 86,592, 119,496.96 and 46,848

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Solution

The fourth proportional to 86,592, 119,496.96 and 46,848 is: 64,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,592 : 119,496.96 = 46,848 : x
  2. Step 2: Convert to fraction form
    86,592/119,496.96 = 46,848/x
  3. Step 3: Cross multiply
    86,592x = 119,496.96 × 46,848
  4. Step 4: Simplify right side
    86,592x = 5,598,193,582.08
  5. Step 5: Solve for x
    x = 5,598,193,582.08/86,592
  6. Step 6: Final answer
    x = 64,650.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.