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Finding the Fourth Proportional to 64,046, 96,069 and 17,298.88

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Solution

The fourth proportional to 64,046, 96,069 and 17,298.88 is: 25,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,046 : 96,069 = 17,298.88 : x
  2. Step 2: Convert to fraction form
    64,046/96,069 = 17,298.88/x
  3. Step 3: Cross multiply
    64,046x = 96,069 × 17,298.88
  4. Step 4: Simplify right side
    64,046x = 1,661,886,102.72
  5. Step 5: Solve for x
    x = 1,661,886,102.72/64,046
  6. Step 6: Final answer
    x = 25,948.32

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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.