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Finding the Fourth Proportional to 64,563, 96,848.16 and 23,010

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Solution

The fourth proportional to 64,563, 96,848.16 and 23,010 is: 34,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,563 : 96,848.16 = 23,010 : x
  2. Step 2: Convert to fraction form
    64,563/96,848.16 = 23,010/x
  3. Step 3: Cross multiply
    64,563x = 96,848.16 × 23,010
  4. Step 4: Simplify right side
    64,563x = 2,228,476,161.60
  5. Step 5: Solve for x
    x = 2,228,476,161.60/64,563
  6. Step 6: Final answer
    x = 34,516.30

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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.